SpringerBriefs in Mathematics

Covering Walks in Graphs

Authors: Fujie, Futaba, Zhang, Ping

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  • Provides a comprehensive treatment on measures of Hamiltonicity and traversability in graphs
  • Contains intriguing open problems and conjectures on spanning walks in graphs
  • Describes new frame works for several well-known Hamiltonian concepts with interesting new results
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eBook 41,64 €
price for Spain (gross)
  • ISBN 978-1-4939-0305-4
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  • Immediate eBook download after purchase
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-1-4939-0304-7
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About this book

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.

Reviews

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)

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook 41,64 €
price for Spain (gross)
  • ISBN 978-1-4939-0305-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-1-4939-0304-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Covering Walks in Graphs
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Futaba Fujie, Ping Zhang
eBook ISBN
978-1-4939-0305-4
DOI
10.1007/978-1-4939-0305-4
Softcover ISBN
978-1-4939-0304-7
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XIV, 110
Number of Illustrations
26 b/w illustrations, 11 illustrations in colour
Topics