Covering Walks in Graphs

Nonfiction, Science & Nature, Mathematics, Combinatorics, Graphic Methods
Cover of the book Covering Walks in Graphs by Futaba Fujie, Ping Zhang, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Futaba Fujie, Ping Zhang ISBN: 9781493903054
Publisher: Springer New York Publication: January 25, 2014
Imprint: Springer Language: English
Author: Futaba Fujie, Ping Zhang
ISBN: 9781493903054
Publisher: Springer New York
Publication: January 25, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Environment and Breast Cancer by Futaba Fujie, Ping Zhang
Cover of the book Residue Reviews / Rückstands-Berichte by Futaba Fujie, Ping Zhang
Cover of the book Social and Emotional Education in Primary School by Futaba Fujie, Ping Zhang
Cover of the book Loudness by Futaba Fujie, Ping Zhang
Cover of the book Sol-Gel Processing for Conventional and Alternative Energy by Futaba Fujie, Ping Zhang
Cover of the book Flow Boiling in Microgap Channels by Futaba Fujie, Ping Zhang
Cover of the book China’s Strategy in Space by Futaba Fujie, Ping Zhang
Cover of the book Pigments in Fruits and Vegetables by Futaba Fujie, Ping Zhang
Cover of the book Religion, Personality, and Mental Health by Futaba Fujie, Ping Zhang
Cover of the book Multi-Net Optimization of VLSI Interconnect by Futaba Fujie, Ping Zhang
Cover of the book Theories of Learning and Studies of Instructional Practice by Futaba Fujie, Ping Zhang
Cover of the book Mathematics for the Life Sciences by Futaba Fujie, Ping Zhang
Cover of the book Reviews of Environmental Contamination and Toxicology by Futaba Fujie, Ping Zhang
Cover of the book Zero-Variable Theories and the Psychology of the Explainer by Futaba Fujie, Ping Zhang
Cover of the book Public Health Perspectives on Disability by Futaba Fujie, Ping Zhang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy