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Titlebook: Covering Walks in Graphs; Futaba Fujie,Ping Zhang Book 2014 Futaba Fujie, Ping Zhang 2014 Hamiltonian graph.spanning walk.traceable number

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發(fā)表于 2025-3-21 19:22:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Covering Walks in Graphs
編輯Futaba Fujie,Ping Zhang
視頻videohttp://file.papertrans.cn/240/239201/239201.mp4
概述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
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Covering Walks in Graphs;  Futaba Fujie,Ping Zhang Book 2014 Futaba Fujie, Ping Zhang 2014 Hamiltonian graph.spanning walk.traceable number
描述.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 K?nigsberg 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 inter
出版日期Book 2014
關(guān)鍵詞Hamiltonian graph; spanning walk; traceable number; traversability in graphs; combinatorics
版次1
doihttps://doi.org/10.1007/978-1-4939-0305-4
isbn_softcover978-1-4939-0304-7
isbn_ebook978-1-4939-0305-4Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightFutaba Fujie, Ping Zhang 2014
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Open vertex-covering walks is the subject of this chapter, resulting in the concepts of traceable walks and traceable numbers, defined in terms of the sum of the distances of consecutive terms in an ordering of the vertices of a connected graph. Variations of these numbers are discussed in some detail.
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Traceable Walks,Open vertex-covering walks is the subject of this chapter, resulting in the concepts of traceable walks and traceable numbers, defined in terms of the sum of the distances of consecutive terms in an ordering of the vertices of a connected graph. Variations of these numbers are discussed in some detail.
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Covering Walks in Graphs978-1-4939-0305-4Series ISSN 2191-8198 Series E-ISSN 2191-8201
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