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 Doctor’s Office Computer Prep Kit by Futaba Fujie, Ping Zhang
Cover of the book Graves' Disease by Futaba Fujie, Ping Zhang
Cover of the book Acute Myelogenous Leukemia by Futaba Fujie, Ping Zhang
Cover of the book Infant Depression by Futaba Fujie, Ping Zhang
Cover of the book Cloud Connectivity and Embedded Sensory Systems by Futaba Fujie, Ping Zhang
Cover of the book The Transnationalization of Economies, States, and Civil Societies by Futaba Fujie, Ping Zhang
Cover of the book Fjords by Futaba Fujie, Ping Zhang
Cover of the book Color Atlas of Pulmonary Cytopathology by Futaba Fujie, Ping Zhang
Cover of the book Human Security and Philanthropy by Futaba Fujie, Ping Zhang
Cover of the book Sliding Mode Control and Observation by Futaba Fujie, Ping Zhang
Cover of the book Alien Seas by Futaba Fujie, Ping Zhang
Cover of the book Central Functions of the Ghrelin Receptor by Futaba Fujie, Ping Zhang
Cover of the book Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2 by Futaba Fujie, Ping Zhang
Cover of the book Inside Interesting Integrals by Futaba Fujie, Ping Zhang
Cover of the book Nanoplasmonic Sensors 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