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This book discusses some methods of graph decompositions, which are highly instrumental when dealing with a number of fundamental problems of graph theory. The presented topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory.
Sommario
- 1.: Introduction
- 2.: Decomposition of Graphical Sequences and Unigraphs
- 3.: Matrogenic, Matroidal and Threshold Graphs
- 4.: Further Applications of Operator Decomposition
- 5.: Line Graphs and Hypergraphs
- 6.: Dimensionality of Graphs
Info autore
Dr Vadim Zverovich is an Associate Professor of Mathematics and the Head of the Mathematics and Statistics Research Group at the University of the West of England (UWE) in Bristol. An accomplished researcher, he is also a Fellow of the UK Operational Research Society, and was previously a Fellow of the prestigious Alexander von Humboldt Foundation in Germany. In 2016, he was awarded Higher Education Academy fellowship status, and the Faculty of Environment and Technology of the UWE named him its researcher of the year in 2017. His research interests include graph theory and its applications, networks, probabilistic methods, combinatorial optimisation and emergency responses.
With 30 years of research experience, he has published many research articles and three books on the above subjects, and established an internationally recognized academic track record in the mathematical sciences covering both theoretical and applied aspects. The most recent book
Modern Applications of Graph Theory was published by Oxford University Press in 2021.
Dr Pavel Skums is an Associate Professor at the Computer Science and Engineering Department of the University of Connecticut. He is a recipient of the prestigious National Science Foundation CAREER award, GSU Dean of College of Arts and Sciences Early Career Award and US Centers for Disease Control and Prevention Charles C. Shepard Science Award. His research concentrates on graph and network theories and their applications in genomics, epidemiology and immunology. He has published more than 60 papers and book chapters, and has been a guest editor of more than 20 special issues of leading journals.
Riassunto
This book discusses some methods of graph decompositions, which are highly instrumental when dealing with a number of fundamental problems of graph theory. The presented topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory.
