Generalized Connectivity of Graphs

Generalized Connectivity of Graphs
Author: Xueliang Li
Publisher: Springer
Total Pages: 148
Release: 2016-06-30
Genre: Mathematics
ISBN: 3319338285

Noteworthy results, proof techniques, open problems and conjectures in generalized (edge-) connectivity are discussed in this book. Both theoretical and practical analyses for generalized (edge-) connectivity of graphs are provided. Topics covered in this book include: generalized (edge-) connectivity of graph classes, algorithms, computational complexity, sharp bounds, Nordhaus-Gaddum-type results, maximum generalized local connectivity, extremal problems, random graphs, multigraphs, relations with the Steiner tree packing problem and generalizations of connectivity. This book enables graduate students to understand and master a segment of graph theory and combinatorial optimization. Researchers in graph theory, combinatorics, combinatorial optimization, probability, computer science, discrete algorithms, complexity analysis, network design, and the information transferring models will find this book useful in their studies.

Bulletin of the Atomic Scientists

Bulletin of the Atomic Scientists
Author:
Publisher:
Total Pages: 88
Release: 1961-05
Genre:
ISBN:

The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

Handbook of Product Graphs

Handbook of Product Graphs
Author: Richard Hammack
Publisher: CRC Press
Total Pages: 537
Release: 2011-06-06
Genre: Computers
ISBN: 1439813051

This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website.

The Game of Cops and Robbers on Graphs

The Game of Cops and Robbers on Graphs
Author: Anthony Bonato
Publisher: American Mathematical Soc.
Total Pages: 298
Release: 2011-08-16
Genre: Mathematics
ISBN: 0821853473

This book is the first and only one of its kind on the topic of Cops and Robbers games, and more generally, on the field of vertex pursuit games on graphs. The book is written in a lively and highly readable fashion, which should appeal to both senior undergraduates and experts in the field (and everyone in between). One of the main goals of the book is to bring together the key results in the field; as such, it presents structural, probabilistic, and algorithmic results on Cops and Robbers games. Several recent and new results are discussed, along with a comprehensive set of references. The book is suitable for self-study or as a textbook, owing in part to the over 200 exercises. The reader will gain insight into all the main directions of research in the field and will be exposed to a number of open problems.

Topics in Graph Theory

Topics in Graph Theory
Author: Wilfried Imrich
Publisher: CRC Press
Total Pages: 219
Release: 2008-10-27
Genre: Mathematics
ISBN: 1439865337

From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way,

Pearls in Graph Theory

Pearls in Graph Theory
Author: Nora Hartsfield
Publisher: Courier Corporation
Total Pages: 276
Release: 2013-04-15
Genre: Mathematics
ISBN: 0486315525

Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.

Domination in Graphs

Domination in Graphs
Author: TeresaW. Haynes
Publisher: Routledge
Total Pages: 519
Release: 2017-11-22
Genre: Mathematics
ISBN: 1351454641

""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more.