Total domination in graphs

Total Domination in Graphs gives a clear understanding  of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in gr...

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Hlavní autoři: Henning, Michael A., 19..-...., mathématicien, Yeo, Anders, 19..-...., mathématicien (Autor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: New York, NY : Springer New York [20..].
Cham : Springer Nature
Vydání:1st ed. 2013.
Edice:Springer Monographs in Mathematics
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Poznámka: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Total domination in graphs, Michael A. Henning, Anders Yeo, New York, Springer, 2013, 1 vol. (XIV-178 p.), Springer monographs in mathematics, 978-1-461-46524-9
• Total Domination in Graphs, Texte imprimé, 9781489991560
• Total Domination in Graphs, Texte imprimé, 9781461465263
• Total domination in graphs, Michael A. Henning, Anders Yeo, New York, Springer, 2013, 1 vol. (XIV-178 p.), Springer monographs in mathematics, 978-1-461-46524-9
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505 1 |a 1. Introduction 2. Properties of Total Dominating Sets and General Bounds 3. Complexity and Algorithmic Results 4.Total Domination in Trees 5.Total Domination and Minimum Degree 6. Total Domination in Planar Graphs 7. Total Domination and Forbidden Cycles 8. Relating the Size and Total Domination Number 9. Total Domination in Claw-Free Graphs 10. Total Domination Number versus Matching Number 11. Total Domination Critical Graphs 12. Total Domination and Graph Products 13. Graphs with Disjoint Total Dominating Sets 14. Total Domination in Graphs with Diameter Two 15. Nordhaus-Gaddum Bounds for Total Domination 16. Upper Total Domination 17.Variations of Total Domination 18. Conjectures and Open Problems Index 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Total Domination in Graphs gives a clear understanding  of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and diameter-2-critical graphs. Several proofs are included in this text which enables readers to acquaint themselves with a toolbox of proof techniques and ideas with which to attack open problems in the field. This work is  an excellent resource for students interested in beginning their research in this field.  Additionally, established researchers will find the book valuable to have as it contains the latest developments and open problems 
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