Topics in intersection graph theory:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1999
|
| Series: | SIAM monographs on discrete mathematics and applications
2 |
| Subjects: | |
| Links: | https://doi.org/10.1137/1.9780898719802 https://doi.org/10.1137/1.9780898719802 https://doi.org/10.1137/1.9780898719802 https://doi.org/10.1137/1.9780898719802 https://doi.org/10.1137/1.9780898719802 |
| Item Description: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (p. 149-200) and index Preface -- 1. Intersection graphs -- Basic concepts -- Intersection classes -- Parsimonious set representations -- Clique graphs -- Line graphs -- Hypergraphs -- 2. Chordal graphs -- Chordal graphs as intersection graphs -- Other characterizations -- Tree hypergraphs -- Some applications of chordal graphs -- Split graphs -- 3. Interval graphs -- Definitions and characterizations -- Interval hypergraphs -- Proper interval graphs -- Some applications of interval graphs -- 4. Competition graphs -- Neighborhood graphs -- Competition graphs -- Interval competition graphs -- Upper bound graphs -- 5. Threshold graphs -- Definitions and characterizations -- Threshold graphs as intersection graphs -- Difference graphs and Ferrers digraphs -- Some applications of threshold graphs -- 6. Other kinds of intersection -- p-Intersection graphs -- Intersection multigraphs and pseudographs -- Tolerance intersection graphs -- 7. Guide to related topics -- Assorted geometric intersection graphs -- Bipartite intersection graphs, intersection digraphs, and catch (di)graphs -- Chordal bipartite and weakly chordal graphs -- Circle graphs and permutation graphs -- Clique graphs of chordal graphs and clique-helly graphs -- Containment, comparability, cocomparability, and asteroidal triple-free graphs -- Infinite intersection graphs -- Miscellaneous topics -- P4-free chordal graphs and cographs -- Powers of intersection graphs -- Sphere-of-influence graphs -- Strongly chordal graphs -- Bibliography -- Index Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics |
| Physical Description: | 1 Online-Ressource (viii, 205 Seiten) |
| ISBN: | 9780898714302 0898714303 |
| DOI: | 10.1137/1.9780898719802 |
Staff View
MARC
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| 500 | |a Preface -- 1. Intersection graphs -- Basic concepts -- Intersection classes -- Parsimonious set representations -- Clique graphs -- Line graphs -- Hypergraphs -- 2. Chordal graphs -- Chordal graphs as intersection graphs -- Other characterizations -- Tree hypergraphs -- Some applications of chordal graphs -- Split graphs -- 3. Interval graphs -- Definitions and characterizations -- Interval hypergraphs -- Proper interval graphs -- Some applications of interval graphs -- 4. Competition graphs -- Neighborhood graphs -- Competition graphs -- Interval competition graphs -- Upper bound graphs -- 5. Threshold graphs -- Definitions and characterizations -- Threshold graphs as intersection graphs -- Difference graphs and Ferrers digraphs -- Some applications of threshold graphs -- 6. Other kinds of intersection -- p-Intersection graphs -- Intersection multigraphs and pseudographs -- Tolerance intersection graphs -- 7. Guide to related topics -- Assorted geometric intersection graphs -- Bipartite intersection graphs, intersection digraphs, and catch (di)graphs -- Chordal bipartite and weakly chordal graphs -- Circle graphs and permutation graphs -- Clique graphs of chordal graphs and clique-helly graphs -- Containment, comparability, cocomparability, and asteroidal triple-free graphs -- Infinite intersection graphs -- Miscellaneous topics -- P4-free chordal graphs and cographs -- Powers of intersection graphs -- Sphere-of-influence graphs -- Strongly chordal graphs -- Bibliography -- Index | ||
| 500 | |a Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics | ||
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Record in the Search Index
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| author | MacKee, Terry A. McMorris, Fred R. |
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| discipline | Mathematik |
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| id | DE-604.BV039747130 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T16:01:24Z |
| institution | BVB |
| isbn | 9780898714302 0898714303 |
| language | English |
| lccn | 98031901 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594660 |
| oclc_num | 873886097 |
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| owner_facet | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (viii, 205 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | SIAM monographs on discrete mathematics and applications |
| series2 | SIAM monographs on discrete mathematics and applications |
| spellingShingle | MacKee, Terry A. McMorris, Fred R. Topics in intersection graph theory SIAM monographs on discrete mathematics and applications Intersection graph theory Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4113782-6 |
| title | Topics in intersection graph theory |
| title_auth | Topics in intersection graph theory |
| title_exact_search | Topics in intersection graph theory |
| title_full | Topics in intersection graph theory Terry A. McKee, F.R. McMorris |
| title_fullStr | Topics in intersection graph theory Terry A. McKee, F.R. McMorris |
| title_full_unstemmed | Topics in intersection graph theory Terry A. McKee, F.R. McMorris |
| title_short | Topics in intersection graph theory |
| title_sort | topics in intersection graph theory |
| topic | Intersection graph theory Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Intersection graph theory Graphentheorie |
| url | https://doi.org/10.1137/1.9780898719802 |
| volume_link | (DE-604)BV047230149 |
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