Domination in graphs: Core Concepts
Publisher’s description: This monograph is designed to be an in-depth introduction to domination in graphs. It focuses on three core concepts: domination, total domination, and independent domination. It contains major results on these foundational domination numbers, including a wide variety of in-...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2023]
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Zusammenfassung: | Publisher’s description: This monograph is designed to be an in-depth introduction to domination in graphs. It focuses on three core concepts: domination, total domination, and independent domination. It contains major results on these foundational domination numbers, including a wide variety of in-depth proofs of selected results providing the reader with a toolbox of proof techniques used in domination theory. Additionally, the book is intended as an invaluable reference resource for a variety of readerships, namely, established researchers in the field of domination who want an updated, comprehensive coverage of domination theory; next, researchers in graph theory who wish to become acquainted with newer topics in domination, along with major developments in the field and some of the proof techniques used; and, graduate students with interests in graph theory, who might find the theory and many real-world applications of domination of interest for masters and doctoral thesis topics. The focused coverage also provides a good basis for seminars in domination theory or domination algorithms and complexity. The authors set out to provide the community with an updated and comprehensive treatment on the major topics in domination in graphs. And by Jove, they’ve done it! In recent years, the authors have curated and published two contributed volumes: Topics in Domination in Graphs, 2020 and Structures of Domination in Graphs, 2021. This book rounds out the coverage entirely. The reader is assumed to be acquainted with the basic concepts of graph theory and has had some exposure to graph theory at an introductory level. As graph theory terminology sometimes varies, a glossary of terms and notation is provided at the end of the book. |
| Beschreibung: | xx, 644 Seiten |
| ISBN: | 9783031094958 9783031094972 9783031094989 |
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| 520 | 3 | |a Publisher’s description: This monograph is designed to be an in-depth introduction to domination in graphs. It focuses on three core concepts: domination, total domination, and independent domination. It contains major results on these foundational domination numbers, including a wide variety of in-depth proofs of selected results providing the reader with a toolbox of proof techniques used in domination theory. Additionally, the book is intended as an invaluable reference resource for a variety of readerships, namely, established researchers in the field of domination who want an updated, comprehensive coverage of domination theory; next, researchers in graph theory who wish to become acquainted with newer topics in domination, along with major developments in the field and some of the proof techniques used; and, graduate students with interests in graph theory, who might find the theory and many real-world applications of domination of interest for masters and doctoral thesis topics. The focused coverage also provides a good basis for seminars in domination theory or domination algorithms and complexity. The authors set out to provide the community with an updated and comprehensive treatment on the major topics in domination in graphs. And by Jove, they’ve done it! In recent years, the authors have curated and published two contributed volumes: Topics in Domination in Graphs, 2020 and Structures of Domination in Graphs, 2021. This book rounds out the coverage entirely. The reader is assumed to be acquainted with the basic concepts of graph theory and has had some exposure to graph theory at an introductory level. As graph theory terminology sometimes varies, a glossary of terms and notation is provided at the end of the book. | |
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Datensatz im Suchindex
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| author | Haynes, Teresa W. 1953- Hedetniemi, S. T. 1939- Henning, Mike |
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| author_facet | Haynes, Teresa W. 1953- Hedetniemi, S. T. 1939- Henning, Mike |
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| bvnumber | BV049927767 |
| ctrlnum | (DE-599)KXP1865887080 |
| dewey-full | 511.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.5 |
| dewey-search | 511.5 |
| dewey-sort | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV049927767 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-29T11:01:54Z |
| institution | BVB |
| isbn | 9783031094958 9783031094972 9783031094989 |
| language | English |
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| physical | xx, 644 Seiten |
| publishDate | 2023 |
| publishDateSearch | 2023 |
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| publisher | Springer |
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| series2 | Springer monographs in mathematics |
| spelling | Haynes, Teresa W. 1953- Verfasser (DE-588)139951083 aut Domination in graphs Core Concepts Teresa W. Haynes, Stephen T. Hedetniemi, Michael A. Henning Cham Springer [2023] xx, 644 Seiten txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Publisher’s description: This monograph is designed to be an in-depth introduction to domination in graphs. It focuses on three core concepts: domination, total domination, and independent domination. It contains major results on these foundational domination numbers, including a wide variety of in-depth proofs of selected results providing the reader with a toolbox of proof techniques used in domination theory. Additionally, the book is intended as an invaluable reference resource for a variety of readerships, namely, established researchers in the field of domination who want an updated, comprehensive coverage of domination theory; next, researchers in graph theory who wish to become acquainted with newer topics in domination, along with major developments in the field and some of the proof techniques used; and, graduate students with interests in graph theory, who might find the theory and many real-world applications of domination of interest for masters and doctoral thesis topics. The focused coverage also provides a good basis for seminars in domination theory or domination algorithms and complexity. The authors set out to provide the community with an updated and comprehensive treatment on the major topics in domination in graphs. And by Jove, they’ve done it! In recent years, the authors have curated and published two contributed volumes: Topics in Domination in Graphs, 2020 and Structures of Domination in Graphs, 2021. This book rounds out the coverage entirely. The reader is assumed to be acquainted with the basic concepts of graph theory and has had some exposure to graph theory at an introductory level. As graph theory terminology sometimes varies, a glossary of terms and notation is provided at the end of the book. Graph theory. Hedetniemi, S. T. 1939- Verfasser (DE-588)1067683623 aut Henning, Mike Verfasser (DE-588)103496657X aut Slater, Peter J. 1946- (DE-588)121431509 hnr 9783031094965 Erscheint auch als Online-Ausgabe Haynes, Teresa W. Domination in Graphs: Core Concepts 1st ed. 2023. Cham : Springer International Publishing, 2023 1 Online-Ressource(XX, 644 p. 231 illus., 41 illus. in color.) 9783031094965 |
| spellingShingle | Haynes, Teresa W. 1953- Hedetniemi, S. T. 1939- Henning, Mike Domination in graphs Core Concepts |
| title | Domination in graphs Core Concepts |
| title_auth | Domination in graphs Core Concepts |
| title_exact_search | Domination in graphs Core Concepts |
| title_full | Domination in graphs Core Concepts Teresa W. Haynes, Stephen T. Hedetniemi, Michael A. Henning |
| title_fullStr | Domination in graphs Core Concepts Teresa W. Haynes, Stephen T. Hedetniemi, Michael A. Henning |
| title_full_unstemmed | Domination in graphs Core Concepts Teresa W. Haynes, Stephen T. Hedetniemi, Michael A. Henning |
| title_short | Domination in graphs |
| title_sort | domination in graphs core concepts |
| title_sub | Core Concepts |
| work_keys_str_mv | AT haynesteresaw dominationingraphscoreconcepts AT hedetniemist dominationingraphscoreconcepts AT henningmike dominationingraphscoreconcepts AT slaterpeterj dominationingraphscoreconcepts |