The Resource Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource)
Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource)
Resource Information
The item Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 2 library branches.
Resource Information
The item Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 2 library branches.
- Summary
- Handbook of Product Graphs, Second Edition examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, the handbook presents full proofs of many important results as well as up-to-date research and conjectures. Results and Algorithms New to the Second Edition: Cancellation results A quadratic recognition algorithm for partial cubes Results on the strong isometric dimension Computing the Wiener index via canonical isometric embedding Connectivity results A fractional version of Hedetniemi's conjecture Results on the independence number of Cartesian powers of vertex-transitive graphs Verification of Vizing's conjecture for chordal graphs Results on minimum cycle bases Numerous selected recent results, such as complete minors and nowhere-zero flows The second edition of this classic handbook provides a thorough introduction to the subject and an extensive survey of the field. The first three parts of the book cover graph products in detail. The authors discuss algebraic properties, such as factorization and cancellation, and explore interesting and important classes of subgraphs. The fourth part presents algorithms for the recognition of products and related classes of graphs. The final two parts focus on graph invariants and infinite, directed, and product-like graphs. Sample implementations of selected algorithms and other information are available on the book's website, which can be reached via the authors' home pages
- Language
- eng
- Edition
- 2nd ed.
- Extent
- 1 online resource (xviii, 498 p.)
- Contents
-
- Front Cover
- Contents
- Foreword
- Preface
- I. A Brief Introduction to Graphs and Their Products
- 1. Graphs
- 2. Automorphisms and Invariants
- 3. Hypercubes and Isometric Subgraphs
- 4. Graph Products
- 5. The Four Standard Graph Products
- II. Factorization and Cancellation
- 6. Cartesian Product
- 7. Strong Product
- 8. Direct Product
- 9. Cancellation
- 10. Lexicographic Product
- III. Isometric Embeddings
- 11. The Relation <U+004b> and Partial Cubes
- 12. Median Graphs
- 13. The Canonical Isometric Embedding
- 14. A Dynamic Location Problem
- 15. Isometries in Strong Products and Product Dimensions
- 16. Fixed Box Theorems
- IV. Algorithms
- 17. Graph Representation and Algorithms
- 18. Recognizing Hypercubes and Partial Cubes
- 19. Chemical Graphs and the Wiener Index
- 20. Arboricity, Squares, and Triangles
- 21. Recognizing Median Graphs
- 22. Recognizing Partial Hamming Graphs and Quasi-Median Graphs
- 23. Factoring the Cartesian Product
- 24. Recognizing Direct, Strong, and Lexicographic Products
- V. Invariants
- 25. Connectivity
- 26. Coloring and Hedetniemi's Conjecture
- 27. Independence Number and Shannon Capacity
- 28. Domination and Vizing's Conjecture
- 29. Cycle Spaces and Bases
- 30. Selected Results
- VI. Related Concepts
- 31. Infinite Graphs
- 32. Products of Digraphs
- 33. Near Products
- Appendix: Hints and Solutions to Exercises
- Bibliography
- Isbn
- 9781439813058
- Label
- Handbook of product graphs
- Title
- Handbook of product graphs
- Statement of responsibility
- Richard Hammack, Wilfried Imrich, Sandi Klavžar
- Language
- eng
- Summary
- Handbook of Product Graphs, Second Edition examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, the handbook presents full proofs of many important results as well as up-to-date research and conjectures. Results and Algorithms New to the Second Edition: Cancellation results A quadratic recognition algorithm for partial cubes Results on the strong isometric dimension Computing the Wiener index via canonical isometric embedding Connectivity results A fractional version of Hedetniemi's conjecture Results on the independence number of Cartesian powers of vertex-transitive graphs Verification of Vizing's conjecture for chordal graphs Results on minimum cycle bases Numerous selected recent results, such as complete minors and nowhere-zero flows The second edition of this classic handbook provides a thorough introduction to the subject and an extensive survey of the field. The first three parts of the book cover graph products in detail. The authors discuss algebraic properties, such as factorization and cancellation, and explore interesting and important classes of subgraphs. The fourth part presents algorithms for the recognition of products and related classes of graphs. The final two parts focus on graph invariants and infinite, directed, and product-like graphs. Sample implementations of selected algorithms and other information are available on the book's website, which can be reached via the authors' home pages
- Cataloging source
- CEF
- http://library.link/vocab/creatorName
- Hammack, Richard H
- Dewey number
- 511.52
- Illustrations
- illustrations
- Index
- no index present
- LC call number
- QA166
- LC item number
- .I477 2011
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/relatedWorkOrContributorDate
-
- 1962-
- 1941-
- http://library.link/vocab/relatedWorkOrContributorName
-
- Klavžar, Sandi
- Imrich, Wilfried
- ProQuest (Firm)
- Series statement
- Discrete mathematics and its applications
- http://library.link/vocab/subjectName
-
- Graph theory
- Graph theory
- Label
- Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource)
- Bibliography note
- Includes bibliographical references (p. 465-498)
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Front Cover -- Contents -- Foreword -- Preface -- I. A Brief Introduction to Graphs and Their Products -- 1. Graphs -- 2. Automorphisms and Invariants -- 3. Hypercubes and Isometric Subgraphs -- 4. Graph Products -- 5. The Four Standard Graph Products -- II. Factorization and Cancellation -- 6. Cartesian Product -- 7. Strong Product -- 8. Direct Product -- 9. Cancellation -- 10. Lexicographic Product -- III. Isometric Embeddings -- 11. The Relation <U+004b> and Partial Cubes -- 12. Median Graphs -- 13. The Canonical Isometric Embedding -- 14. A Dynamic Location Problem -- 15. Isometries in Strong Products and Product Dimensions -- 16. Fixed Box Theorems -- IV. Algorithms -- 17. Graph Representation and Algorithms -- 18. Recognizing Hypercubes and Partial Cubes -- 19. Chemical Graphs and the Wiener Index -- 20. Arboricity, Squares, and Triangles -- 21. Recognizing Median Graphs -- 22. Recognizing Partial Hamming Graphs and Quasi-Median Graphs -- 23. Factoring the Cartesian Product -- 24. Recognizing Direct, Strong, and Lexicographic Products -- V. Invariants -- 25. Connectivity -- 26. Coloring and Hedetniemi's Conjecture -- 27. Independence Number and Shannon Capacity -- 28. Domination and Vizing's Conjecture -- 29. Cycle Spaces and Bases -- 30. Selected Results -- VI. Related Concepts -- 31. Infinite Graphs -- 32. Products of Digraphs -- 33. Near Products -- Appendix: Hints and Solutions to Exercises -- Bibliography
- Control code
- 744521234
- Dimensions
- unknown
- Edition
- 2nd ed.
- Extent
- 1 online resource (xviii, 498 p.)
- Form of item
- online
- Isbn
- 9781439813058
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1201/b10959
- Other physical details
- ill.
- http://library.link/vocab/ext/overdrive/overdriveId
- cl0500000404
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)744521234
- Label
- Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource)
- Bibliography note
- Includes bibliographical references (p. 465-498)
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Front Cover -- Contents -- Foreword -- Preface -- I. A Brief Introduction to Graphs and Their Products -- 1. Graphs -- 2. Automorphisms and Invariants -- 3. Hypercubes and Isometric Subgraphs -- 4. Graph Products -- 5. The Four Standard Graph Products -- II. Factorization and Cancellation -- 6. Cartesian Product -- 7. Strong Product -- 8. Direct Product -- 9. Cancellation -- 10. Lexicographic Product -- III. Isometric Embeddings -- 11. The Relation <U+004b> and Partial Cubes -- 12. Median Graphs -- 13. The Canonical Isometric Embedding -- 14. A Dynamic Location Problem -- 15. Isometries in Strong Products and Product Dimensions -- 16. Fixed Box Theorems -- IV. Algorithms -- 17. Graph Representation and Algorithms -- 18. Recognizing Hypercubes and Partial Cubes -- 19. Chemical Graphs and the Wiener Index -- 20. Arboricity, Squares, and Triangles -- 21. Recognizing Median Graphs -- 22. Recognizing Partial Hamming Graphs and Quasi-Median Graphs -- 23. Factoring the Cartesian Product -- 24. Recognizing Direct, Strong, and Lexicographic Products -- V. Invariants -- 25. Connectivity -- 26. Coloring and Hedetniemi's Conjecture -- 27. Independence Number and Shannon Capacity -- 28. Domination and Vizing's Conjecture -- 29. Cycle Spaces and Bases -- 30. Selected Results -- VI. Related Concepts -- 31. Infinite Graphs -- 32. Products of Digraphs -- 33. Near Products -- Appendix: Hints and Solutions to Exercises -- Bibliography
- Control code
- 744521234
- Dimensions
- unknown
- Edition
- 2nd ed.
- Extent
- 1 online resource (xviii, 498 p.)
- Form of item
- online
- Isbn
- 9781439813058
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1201/b10959
- Other physical details
- ill.
- http://library.link/vocab/ext/overdrive/overdriveId
- cl0500000404
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)744521234
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Handbook-of-product-graphs-Richard-Hammack/0RDp03hsO0s/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Handbook-of-product-graphs-Richard-Hammack/0RDp03hsO0s/">Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Handbook-of-product-graphs-Richard-Hammack/0RDp03hsO0s/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Handbook-of-product-graphs-Richard-Hammack/0RDp03hsO0s/">Handbook of product graphs, Richard Hammack, Wilfried Imrich, Sandi Klavžar, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
