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Homomorphisms PowerPoint PPT Presentation

Homomorphisms - Chapter 6 Homomorphisms (lecture 10) Transparency No. 6-*

Chapter 6 Homomorphisms (lecture 10) Transparency No. 6-*

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Locally constrained graph homomorphisms PowerPoint PPT Presentation

Locally constrained graph homomorphisms - Thm (Hell, Ne etril): H-COLORING is polynomial for H bipartite and NP-complete otherwise. ... Given cubic bipartite graph G, it is NP-complete to decide if the ...

Thm (Hell, Ne etril): H-COLORING is polynomial for H bipartite and NP-complete otherwise. ... Given cubic bipartite graph G, it is NP-complete to decide if the ...

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Level of Repair Analysis and Minimum Cost Homomorphisms of Graphs PowerPoint PPT Presentation

Level of Repair Analysis and Minimum Cost Homomorphisms of Graphs - Title: Some applications of graph theory, combinatorics and number theory Author: gutin Last modified by: gutin Created Date: 1/2/2005 10:36:38 AM

Title: Some applications of graph theory, combinatorics and number theory Author: gutin Last modified by: gutin Created Date: 1/2/2005 10:36:38 AM

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Level of Repair Analysis and Minimum Cost Homomorphisms of Graphs - Gregory Gutin, Royal Holloway University of London. R. o. y. a. l. H. o. l. l. o. w. a. y. U. n. i ... Gregory Gutin, Royal Holloway University of London. R. o ...

Gregory Gutin, Royal Holloway University of London. R. o. y. a. l. H. o. l. l. o. w. a. y. U. n. i ... Gregory Gutin, Royal Holloway University of London. R. o ...

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Section 14 Factor Groups PowerPoint PPT Presentation

Section 14 Factor Groups - Section 14 Factor Groups Factor Groups from Homomorphisms. Theorem Let : G G be a group homomorphism with kernel H. Then the cosets of H form a factor group, G/H ...

Section 14 Factor Groups Factor Groups from Homomorphisms. Theorem Let : G G be a group homomorphism with kernel H. Then the cosets of H form a factor group, G/H ...

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Fourier%20Transforms PowerPoint PPT Presentation

Fourier%20Transforms - a linear combination of sin nx, cos nx ? If yes, how ... and integral. characters. of G. form a topological. group G, dual of G. continuous. homomorphisms GzC ...

a linear combination of sin nx, cos nx ? If yes, how ... and integral. characters. of G. form a topological. group G, dual of G. continuous. homomorphisms GzC ...

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Algebraic Structure in a Family of Nim-like Arrays PowerPoint PPT Presentation

Algebraic Structure in a Family of Nim-like Arrays - Xavier University ... (this is a 'sum' of three individual single-pile games) Combinatorial Games ... Nim pile with n stones has nimber n. nimber 0 means ...

Xavier University ... (this is a 'sum' of three individual single-pile games) Combinatorial Games ... Nim pile with n stones has nimber n. nimber 0 means ...

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Local and global convergence PowerPoint PPT Presentation

Local and global convergence - Title: Slide 1 Author: lovasz Last modified by: Lov sz L szl Created Date: 11/9/2003 4:09:10 AM Document presentation format: Diavet t s a k perny re (4:3 ...

Title: Slide 1 Author: lovasz Last modified by: Lov sz L szl Created Date: 11/9/2003 4:09:10 AM Document presentation format: Diavet t s a k perny re (4:3 ...

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Incrementally Computing Ordered Answers of Acyclic Conjunctive Queries PowerPoint PPT Presentation

Incrementally Computing Ordered Answers of Acyclic Conjunctive Queries - Many duplicates to eliminate (e.g., many apartments with similar properties) ... Q(C,B,P): Apartments(I,C,P,B), Climates(C,T), Distances(C, London',D) ...

Many duplicates to eliminate (e.g., many apartments with similar properties) ... Q(C,B,P): Apartments(I,C,P,B), Climates(C,T), Distances(C, London',D) ...

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Software as Math PowerPoint PPT Presentation

Software as Math - It could be said that these subjects define the mathematical basis ... Big Ben and a wristwatch. Two decks of cards, each a different color. A Good Example...

It could be said that these subjects define the mathematical basis ... Big Ben and a wristwatch. Two decks of cards, each a different color. A Good Example...

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Characterization of rotation equivariant additive mappings PowerPoint PPT Presentation

Characterization of rotation equivariant additive mappings - zonal measure M(S n 1) such that : K n K n is a Blaschke endomorphism if and only if ... homomorphism there is a weakly positive zonal function g C(S n 1) ...

zonal measure M(S n 1) such that : K n K n is a Blaschke endomorphism if and only if ... homomorphism there is a weakly positive zonal function g C(S n 1) ...

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Containment of Conjunctive Queries over Databases with Null Values PowerPoint PPT Presentation

Containment of Conjunctive Queries over Databases with Null Values - Introduced for conjunctive queries (Chandra/Merlin 1977) Investigated for a wealth of query types ... However, nulls are ubiquitous in SQL databases. ICDT - 12 ...

Introduced for conjunctive queries (Chandra/Merlin 1977) Investigated for a wealth of query types ... However, nulls are ubiquitous in SQL databases. ICDT - 12 ...

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Graph%20Homomorphism%20and%20Gradually%20Varied%20Functions PowerPoint PPT Presentation

Graph%20Homomorphism%20and%20Gradually%20Varied%20Functions - Department of Computer Science and Information Technology ... varied segmentation using divide-and-conquer (split-and-merge) vs. Typical ...

Department of Computer Science and Information Technology ... varied segmentation using divide-and-conquer (split-and-merge) vs. Typical ...

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Homology - The q-Simplices and all possible linear combinations in a Simplicial Complex ... A Chain complex is a sequence of abelian (commutative) ...

The q-Simplices and all possible linear combinations in a Simplicial Complex ... A Chain complex is a sequence of abelian (commutative) ...

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Closure Properties of Regular Languages PowerPoint PPT Presentation

Closure Properties of Regular Languages - Closure Properties of Regular Languages Union, Intersection, Difference, Concatenation, Kleene Closure, Reversal, Homomorphism, Inverse Homomorphism

Closure Properties of Regular Languages Union, Intersection, Difference, Concatenation, Kleene Closure, Reversal, Homomorphism, Inverse Homomorphism

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Closure Properties of Regular Languages - Closure Properties of Regular Languages Union, Intersection, Difference, Concatenation, Kleene Closure, Reversal, Homomorphism, Inverse Homomorphism

Closure Properties of Regular Languages Union, Intersection, Difference, Concatenation, Kleene Closure, Reversal, Homomorphism, Inverse Homomorphism

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Convergent Dense Graph Sequences PowerPoint PPT Presentation

Convergent Dense Graph Sequences - Definition (1999 Frieze, Kannan): Let M be an n n matrix. The cut norm of M is given by ... in the weak form proved by Frieze and Kannan, describes precisely the dW ...

Definition (1999 Frieze, Kannan): Let M be an n n matrix. The cut norm of M is given by ... in the weak form proved by Frieze and Kannan, describes precisely the dW ...

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Math 3121 Abstract Algebra I PowerPoint PPT Presentation

Math 3121 Abstract Algebra I - Math 3121 Abstract Algebra I Lecture 14 Sections 15-16 Section 15: Factor Groups Examples of factor groups n m/ G1 G2/i1 (G1) and G1 G2/i2 (G2) 4 ...

Math 3121 Abstract Algebra I Lecture 14 Sections 15-16 Section 15: Factor Groups Examples of factor groups n m/ G1 G2/i1 (G1) and G1 G2/i2 (G2) 4 ...

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Annotated XML: Queries and Provenance Nate Foster TJ Green Val Tannen University of Pennsylvania PowerPoint PPT Presentation

Annotated XML: Queries and Provenance Nate Foster TJ Green Val Tannen University of Pennsylvania - Query output annotated with Boolean formulas ... Provenance for Relational Algebra Views. 3. A. B. C. a. b. c. d. b. e. f. g. e. A. B. a. c. a. e. d. c ...

Query output annotated with Boolean formulas ... Provenance for Relational Algebra Views. 3. A. B. C. a. b. c. d. b. e. f. g. e. A. B. a. c. a. e. d. c ...

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Data%20Exchange:%20Semantics%20and%20Query%20Answering PowerPoint PPT Presentation

Data%20Exchange:%20Semantics%20and%20Query%20Answering - Data Exchange: Semantics and Query Answering Ronald Fagin -- IBM Almaden Research Center Phokion G. Kolaitis -- UC Santa Cruz Renee J. Miller -- University of ...

Data Exchange: Semantics and Query Answering Ronald Fagin -- IBM Almaden Research Center Phokion G. Kolaitis -- UC Santa Cruz Renee J. Miller -- University of ...

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MEASUREMENT THEORY AND ITS PowerPoint PPT Presentation

MEASUREMENT THEORY AND ITS - MEASUREMENT THEORY AND ITS APPLICATIONS FRED S. ROBERTS RUTGERS UNIVERSITY What is meaningful? Theorem (Cozzens and Roberts 1991): The conclusion that the greedy ...

MEASUREMENT THEORY AND ITS APPLICATIONS FRED S. ROBERTS RUTGERS UNIVERSITY What is meaningful? Theorem (Cozzens and Roberts 1991): The conclusion that the greedy ...

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Data%20Exchange:%20Semantics%20and%20Query%20Answering - Ronald Fagin -- IBM Almaden Research Center. Phokion G. Kolaitis -- UC Santa Cruz ... How to restructure data from a source schema to a target schema, according to a ...

Ronald Fagin -- IBM Almaden Research Center. Phokion G. Kolaitis -- UC Santa Cruz ... How to restructure data from a source schema to a target schema, according to a ...

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Lecture Closure Properties for Regular Languages PowerPoint PPT Presentation

Lecture Closure Properties for Regular Languages - Fill in the underlined values for s and i in the following proof that the ... on strings that works by substituting a particular string for each symbol ...

Fill in the underlined values for s and i in the following proof that the ... on strings that works by substituting a particular string for each symbol ...

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Abstraction in Model Checking PowerPoint PPT Presentation

Abstraction in Model Checking - Finite transition system M. A temporal property p. The model ... Homomorphic Abstractions. Abstract Interpretation Theory. Guarantees from Abstractions Safe ...

Finite transition system M. A temporal property p. The model ... Homomorphic Abstractions. Abstract Interpretation Theory. Guarantees from Abstractions Safe ...

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Expanders, Universal Graphs and Disjoint Paths - Expanders, Universal Graphs and Disjoint Paths

Expanders, Universal Graphs and Disjoint Paths

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MEASUREMENT THEORY AND ITS - In measurement of temperature, we preserve a relation 'warmer than. ... A representation theorem gives conditions under which measurement can take place. ...

In measurement of temperature, we preserve a relation 'warmer than. ... A representation theorem gives conditions under which measurement can take place. ...

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Hydra (A General Framework for Formalizing UML with Formal Languages for Embedded Systems*) PowerPoint PPT Presentation

Hydra (A General Framework for Formalizing UML with Formal Languages for Embedded Systems*) - Hydra (A General Framework for Formalizing UML with Formal Languages for ... Underlying the Hydra tool is a general framework for formalizing UML diagrams ...

Hydra (A General Framework for Formalizing UML with Formal Languages for ... Underlying the Hydra tool is a general framework for formalizing UML diagrams ...

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Groups - If Q, R, and C denote the set of nonzero rational, real, and complex numbers, respectively, (Q ... and the inverse of the translation in the direction (a, b) is ...

If Q, R, and C denote the set of nonzero rational, real, and complex numbers, respectively, (Q ... and the inverse of the translation in the direction (a, b) is ...

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Adjoint Functors: The Standard Theory and the Heteromorphic Theory PowerPoint PPT Presentation

Adjoint Functors: The Standard Theory and the Heteromorphic Theory - Title: The Mondragon Experience Viewed from Basic Principles Last modified by: David Ellerman Created Date: 1/3/2000 11:02:10 AM Document presentation format

Title: The Mondragon Experience Viewed from Basic Principles Last modified by: David Ellerman Created Date: 1/3/2000 11:02:10 AM Document presentation format

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Complexity of partial covers of Theta graphs PowerPoint PPT Presentation

Complexity of partial covers of Theta graphs - NP-hardness reduction based on edge-precoloring-extension of bipartite graphs ... Given cubic bipartite graph G with some edges precolored by two colors, it is NP ...

NP-hardness reduction based on edge-precoloring-extension of bipartite graphs ... Given cubic bipartite graph G with some edges precolored by two colors, it is NP ...

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MA5209 Algebraic Topology PowerPoint PPT Presentation

MA5209 Algebraic Topology - Title: CLASSICAL INFORMATION THEORY Author: matwml Last modified by: matwml Created Date: 12/10/2002 8:14:31 AM Document presentation format: On-screen Show

Title: CLASSICAL INFORMATION THEORY Author: matwml Last modified by: matwml Created Date: 12/10/2002 8:14:31 AM Document presentation format: On-screen Show

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Mixed Covering Arrays on Graphs PowerPoint PPT Presentation

Mixed Covering Arrays on Graphs - Joint work with Karen Meagher and Lucia Moura. to appear in the Journal of Combinatorial Designs ... n-chromatic Graphs for n = 2,3,4,5. Graph Operations: Tree ...

Joint work with Karen Meagher and Lucia Moura. to appear in the Journal of Combinatorial Designs ... n-chromatic Graphs for n = 2,3,4,5. Graph Operations: Tree ...

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Qiong Cheng, Dipendra Kaur, Robert Harrison, Alexander Zelikovsky PowerPoint PPT Presentation

Qiong Cheng, Dipendra Kaur, Robert Harrison, Alexander Zelikovsky - Qiong Cheng, Dipendra Kaur, Robert Harrison, Alexander Zelikovsky ... gspan: Graph-based substructure pattern mining. In ICDM, pages 721-724, 2002. ...

Qiong Cheng, Dipendra Kaur, Robert Harrison, Alexander Zelikovsky ... gspan: Graph-based substructure pattern mining. In ICDM, pages 721-724, 2002. ...

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2. From Groups to Surfaces PowerPoint PPT Presentation

2. From Groups to Surfaces - Quaternions H. - Exercises ... Exercise: Represent quaternions by complex matrices (matrix addition and matrix multiplication) ...

Quaternions H. - Exercises ... Exercise: Represent quaternions by complex matrices (matrix addition and matrix multiplication) ...

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Schema Mappings

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Properties of Regular Languages PowerPoint PPT Presentation

Properties of Regular Languages - Is the class of regular languages closed under union? ... qo. p0. q2. p3. a. q1. p1. b. a. Closure Under Intersection. Proof 2. DeMorgan's Law: L1L2 = L1 U L2 ...

Is the class of regular languages closed under union? ... qo. p0. q2. p3. a. q1. p1. b. a. Closure Under Intersection. Proof 2. DeMorgan's Law: L1L2 = L1 U L2 ...

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Closure Properties of Regular Languages - The intersection of two regular languages is regular. ... Example: The grammar Gpal for palindromes is represented by. Gpal = ({P},{0,1}, A, P) ...

The intersection of two regular languages is regular. ... Example: The grammar Gpal for palindromes is represented by. Gpal = ({P},{0,1}, A, P) ...

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Abstraction in Model Checking - Galois Connections. Concrete: S, Abstract: S' Abstract S. F(S) = S as S'. F' ... Galois Connections. S concrete, S' abstract. S' must be a complete lattice ...

Galois Connections. Concrete: S, Abstract: S' Abstract S. F(S) = S as S'. F' ... Galois Connections. S concrete, S' abstract. S' must be a complete lattice ...

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Tiling Transactions in Rewriting Logic PowerPoint PPT Presentation

Tiling Transactions in Rewriting Logic - Duality. A. B. F. F(A) G. G(B) F(Gb') b' F(Gb) b. Gb' Gb ... h. Duality. A. B. F. F(A) G. G(B) F(GF(a)) F(a) a. idF(a) F(a) F(a) F(a) F(a) idF(a) GF(a) ...

Duality. A. B. F. F(A) G. G(B) F(Gb') b' F(Gb) b. Gb' Gb ... h. Duality. A. B. F. F(A) G. G(B) F(GF(a)) F(a) a. idF(a) F(a) F(a) F(a) F(a) idF(a) GF(a) ...

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Introduction to the min cost homomorphism problem for undirected and directed graphs PowerPoint PPT Presentation

Introduction to the min cost homomorphism problem for undirected and directed graphs - Gregory Gutin Royal Holloway, U. London, UK and U. Haifa, Israel Introduction to the min cost homomorphism problem for undirected and directed graphs

Gregory Gutin Royal Holloway, U. London, UK and U. Haifa, Israel Introduction to the min cost homomorphism problem for undirected and directed graphs

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Classification of Groups of Order 24 PowerPoint PPT Presentation

Classification of Groups of Order 24 - So, psp-1=s or psp-1=s-1. If the former were true, then we would get Case 2 again, so. psp-1=s-1. Now we check that H ... As before, psp-1=s-1. So, sps-1=s-1p. ...

So, psp-1=s or psp-1=s-1. If the former were true, then we would get Case 2 again, so. psp-1=s-1. Now we check that H ... As before, psp-1=s-1. So, sps-1=s-1p. ...

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??NFA:??????????NFA; PowerPoint PPT Presentation

??NFA:??????????NFA; - nfa ...

nfa ...

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TORUS GROUPS PowerPoint PPT Presentation

TORUS GROUPS - It exemplifies the concept of DUALITY, in this case the fact that every ... obtained these results, and the solenoid structure, using Pontryagin Duality and ...

It exemplifies the concept of DUALITY, in this case the fact that every ... obtained these results, and the solenoid structure, using Pontryagin Duality and ...

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Checking Specific Algorithms PowerPoint PPT Presentation

Checking Specific Algorithms - Each checker exploits special properties of target algorithm ... Intuitively: problems solvable via basic greedy algorithm. All matroids have this structure ...

Each checker exploits special properties of target algorithm ... Intuitively: problems solvable via basic greedy algorithm. All matroids have this structure ...

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Checking Specific Algorithms - Checking Specific Algorithms Greg Bronevetsky Objective Primary goal: find checkers that can be applied to any program Along the way must look at checkers for ...

Checking Specific Algorithms Greg Bronevetsky Objective Primary goal: find checkers that can be applied to any program Along the way must look at checkers for ...

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COVARIANT REPRESENTATIONS ASSOCIATED WITH COVARIANT COMPLETELY n -POSITIVE LINEAR MAPS BETWEEN C* - ALGEBRAS PowerPoint PPT Presentation

COVARIANT REPRESENTATIONS ASSOCIATED WITH COVARIANT COMPLETELY n -POSITIVE LINEAR MAPS BETWEEN C* - ALGEBRAS - [0, ?] the set of all strict completely positive linear u covariant maps ? ... on Topological Algebras and Applications, Athens, Greece, 2005 (to appear) ...

[0, ?] the set of all strict completely positive linear u covariant maps ? ... on Topological Algebras and Applications, Athens, Greece, 2005 (to appear) ...

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Prof' B' I' KHODANPUR email : cservvsnl'com PowerPoint PPT Presentation

Prof' B' I' KHODANPUR email : cservvsnl'com - Pumping Lemma for regular languages ... Pumping Lemma. Related Problems. 6 ... Pumping Lemma (PL) for. Regular Languages. Theorem: Let L be a regular language. ...

Pumping Lemma for regular languages ... Pumping Lemma. Related Problems. 6 ... Pumping Lemma (PL) for. Regular Languages. Theorem: Let L be a regular language. ...

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Introduction to the min cost homomorphism problem for undirected and directed graphs - Introduction to the min cost homomorphism problem. for undirected and directed graphs ... Minsum colorings:, ci(u)=i. Easy Polynomial Cases of MinHOM(H): H is a di-Ck ...

Introduction to the min cost homomorphism problem. for undirected and directed graphs ... Minsum colorings:, ci(u)=i. Easy Polynomial Cases of MinHOM(H): H is a di-Ck ...

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Containment of Relational Queries with Annotation Propagation PowerPoint PPT Presentation

Containment of Relational Queries with Annotation Propagation - A system that is able to propagate meta-data that is associated with a piece of ... The minimal query of Q2 is isomorphic to Q1 up to variable renaming. ...

A system that is able to propagate meta-data that is associated with a piece of ... The minimal query of Q2 is isomorphic to Q1 up to variable renaming. ...

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An Effective Framework for Processing PowerPoint PPT Presentation

An Effective Framework for Processing - grouping, update capabilities. - 4 - Leonidas Fegaras. New Applications ... group by d.dno. having 20 count(e.ssn); - 27 - Leonidas Fegaras. A Need for an Algebra ...

grouping, update capabilities. - 4 - Leonidas Fegaras. New Applications ... group by d.dno. having 20 count(e.ssn); - 27 - Leonidas Fegaras. A Need for an Algebra ...

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Persistent Homology and Sensor Networks PowerPoint PPT Presentation

Persistent Homology and Sensor Networks - Let X be a collection of points in a metric space ... X1 X2 X3 ... Xn. C0k. C01. C00. C0k-1. 0. C1k. C11. C10. C1k-1. 0. Cnk. Cn1. Cn0. Cnk-1. 0 ...

Let X be a collection of points in a metric space ... X1 X2 X3 ... Xn. C0k. C01. C00. C0k-1. 0. C1k. C11. C10. C1k-1. 0. Cnk. Cn1. Cn0. Cnk-1. 0 ...

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$Interpolation in \Lukasiewicz logic and amalgamation of MV-algebras PowerPoint PPT Presentation$

Interpolation in \Lukasiewicz logic and amalgamation of MV-algebras - Interpolation in \Lukasiewicz logic and amalgamation of MV-algebras Daniele Mundici Dept. of Mathematics Ulisse Dini University of Florence,

Interpolation in \Lukasiewicz logic and amalgamation of MV-algebras Daniele Mundici Dept. of Mathematics Ulisse Dini University of Florence,

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Foundations of Schema Mappings PowerPoint PPT Presentation

Foundations of Schema Mappings - Foundations of Schema Mappings Phokion G. Kolaitis IBM Almaden Research Center & UC Santa Cruz The Data Interoperability Problem Data may reside at several different ...

Foundations of Schema Mappings Phokion G. Kolaitis IBM Almaden Research Center & UC Santa Cruz The Data Interoperability Problem Data may reside at several different ...

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Schema Mappings Data Exchange - Schema Mappings Data Exchange

Schema Mappings Data Exchange

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Some Aspects of QuasiStone Algebras, II Solutions and Simplifications of Some Problems from Sankappa PowerPoint PPT Presentation

Some Aspects of QuasiStone Algebras, II Solutions and Simplifications of Some Problems from Sankappa - Universit t Bern. Bern, Switzerland. Buy! Buy! Buy! Buy! Buy! Buy! Buy! ... A quasi-Stone algebra (QSA) is a bounded distributive lattice L with a unary ...

Universit t Bern. Bern, Switzerland. Buy! Buy! Buy! Buy! Buy! Buy! Buy! ... A quasi-Stone algebra (QSA) is a bounded distributive lattice L with a unary ...

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Foundations of Schema Mappings - ... declarative assertions that specify the relationship between two schemas. ... Fact: There is a fixed first-order sentence specifying a schema mapping M* such ...

... declarative assertions that specify the relationship between two schemas. ... Fact: There is a fixed first-order sentence specifying a schema mapping M* such ...

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Homomorphisms PowerPoint PPT Presentations