<電子ブック>
Pancyclic and Bipancyclic Graphs / by John C. George, Abdollah Khodkar, W.D. Wallis
(SpringerBriefs in Mathematics. ISSN:21918201)
版 | 1st ed. 2016. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2016 |
本文言語 | 英語 |
大きさ | XII, 108 p. 64 illus : online resource |
著者標目 | *George, John C author Khodkar, Abdollah author Wallis, W.D author SpringerLink (Online service) |
件 名 | LCSH:Graph theory LCSH:Discrete mathematics LCSH:Numerical analysis FREE:Graph Theory FREE:Discrete Mathematics FREE:Numerical Analysis |
一般注記 | 1.Graphs -- 2. Degrees and Hamiltoneity -- 3. Pancyclicity -- 4. Minimal Pancyclicity -- 5. Uniquely Pancyclic Graphs -- 6. Bipancyclic Graphs -- 7. Uniquely Bipancyclic Graphs -- 8. Minimal Bipancyclicity -- References. This book is focused on pancyclic and bipancyclic graphs and is geared toward researchers and graduate students in graph theory. Readers should be familiar with the basic concepts of graph theory, the definitions of a graph and of a cycle. Pancyclic graphs contain cycles of all possible lengths from three up to the number of vertices in the graph. Bipartite graphs contain only cycles of even lengths, a bipancyclic graph is defined to be a bipartite graph with cycles of every even size from 4 vertices up to the number of vertices in the graph. Cutting edge research and fundamental results on pancyclic and bipartite graphs from a wide range of journal articles and conference proceedings are composed in this book to create a standalone presentation. The following questions are highlighted through the book: - What is the smallest possible number of edges in a pancyclic graph with v vertices? - When do pancyclic graphs exist with exactly one cycle of every possible length? - What is the smallest possible number of edges in a bipartite graph with v vertices? - When do bipartite graphs exist with exactly one cycle of every possible length? HTTP:URL=https://doi.org/10.1007/978-3-319-31951-3 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783319319513 |
|
電子リソース |
|
EB00230232 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA166-166.247 DC23:511.5 |
書誌ID | 4000119011 |
ISBN | 9783319319513 |
類似資料
この資料の利用統計
このページへのアクセス回数:3回
※2017年9月4日以降