Covering Walks in Graphs

Ping Zhang Futaba Fujie

ISBN 10: 1493903047 / ISBN 13: 9781493903047

Published by Springer, 2014

About this Item

pp. xiv + 110.

Seller Inventory # 26127086789

Bibliographic Details

• Title: Covering Walks in Graphs
• Publisher: Springer
• Publication Date: 2014
• Language: English
• ISBN 10: 1493903047
• ISBN 13: 9781493903047
• Binding: Soft cover
• Condition: New

About this title

Synopsis

Covering Walks  in Graphs is aimed at researchers and graduate students in the graph theory community and provides a comprehensive treatment on measures of two well studied graphical properties, namely Hamiltonicity and traversability in graphs. This text looks into the famous Kӧnigsberg Bridge Problem, the Chinese Postman Problem, the Icosian Game and the Traveling Salesman Problem as well as well-known mathematicians who were involved in these problems. The concepts of different spanning walks with examples and present classical results on Hamiltonian numbers and upper Hamiltonian numbers of graphs are described; in some cases, the authors provide proofs of these results to illustrate the beauty and complexity of this area of research. Two new concepts of traceable numbers of graphs and traceable numbers of vertices of a graph which were inspired by and closely related to Hamiltonian numbers are introduced. Results are illustrated on these two concepts and the relationship between traceable concepts and Hamiltonian concepts are examined. Describes several variations of traceable numbers, which provide new frame works for several well-known Hamiltonian concepts and produce interesting new results.

Review

From the book reviews:

“Fujie (Nagoya Univ., Japan) and Zhang (Western Michigan Univ.) broadly survey many similar statements, some theorems, and some conjectures in a manner clear enough for beginners and thorough enough for experts. ... Summing Up: Recommended. Upper-division undergraduates and above.” (D. V. Feldman, Choice, Vol. 52 (3), November, 2014)