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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Domination in Graphs: Core Concepts (Hardcover, 1st ed. 2023)
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Domination in Graphs: Core Concepts (Hardcover, 1st ed. 2023)
Series: Springer Monographs in Mathematics
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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, (c) 2020 and Structures of
Domination in Graphs, (c) 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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