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Structures of Domination in Graphs (Hardcover, 1st ed. 2021)
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Structures of Domination in Graphs (Hardcover, 1st ed. 2021)
Series: Developments in Mathematics, 66
Expected to ship within 9 - 15 working days
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This volume comprises 17 contributions that present advanced topics
in graph domination, featuring open problems, modern techniques,
and recent results. The book is divided into 3 parts. The first
part focuses on several domination-related concepts: broadcast
domination, alliances, domatic numbers, dominator colorings,
irredundance in graphs, private neighbor concepts, game domination,
varieties of Roman domination and spectral graph theory. The second
part covers domination in hypergraphs, chessboards, and digraphs
and tournaments. The third part focuses on the development of
algorithms and complexity of signed, minus and majority domination,
power domination, and alliances in graphs. The third part also
includes a chapter on self-stabilizing algorithms. Of extra benefit
to the reader, the first chapter includes a glossary of commonly
used terms. The book is intended to provide a reference for
established researchers in the fields of domination and graph
theory and graduate students who wish to gain knowledge of the
topics covered as well as an overview of the major accomplishments
and proof techniques used in the field.
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