政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/84946

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/84946

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题名:	線星數極值問題 Extremal Problems for Linear Star Number
作者:	劉宣谷
贡献者:	張宜武 Chang, Yi-Wu 劉宣谷
关键词:	星形表示法線星表示法毛毛蟲 Star representation Linear star representation Caterpillar
日期:	2001
上传时间:	2016-04-15 16:02:46 (UTC+8)
摘要:	In this thesis, we study relationships between linear star number and star number and obtain bounds on the linear star number. We obtain an upper bound on linear star number in term of star number：s(G) ≦ 3s(G). When we forbid certain induced subgraphs, we obtain an upper bound on linear star number. If G is a graph without induced K4－e., we prove that s(G) ≦ s(G)+1. And, the linear star number of the triangle-free graph is also bounded by s(G)+1. The linear star number and star number are equal when G is a graph with △(G)=3. When G is a graph with △(G)=4, we also obtain s*(G)≦s(G)+1.
參考文獻:	BOOK{texbook, author = {Douglas B. West}, year = 1996, title = {Introduction to Graph Theory}, publisher = {PRENTICE HALL} } ARTICLE{Gav, author={F. Gavril}, title={The intersection graphs of subtrees in trees are exactly the chordal graphs}, journal={J. Combinatorics Theory B}, volume={16}, year={1974}, pages={45-56},} ARTICLE{Bun, author={P.A. Buneman}, title={A characterization of rigid circuit graphs}, journal={Discrete Math}, volume={9}, year={1974}, pages={205-212}, } ARTICLE{Wal, author={J.R. Walter}, title={Representations of chordal graphs as subtrees of a tree}, journal={J. Graph Theory}, volume={2}, year={1978}, pages={265-267},} ARTICLE{Wes, author={D.B. West}, title={Parameters in partial orders and graphs:Packing, covering, and representation}, journal={Graphs and Order}, volume={2}, year={1985}, pages={267-350},} PHDTHESIS{Chang, author={Yi-Wu Chang}, title={Graph Representations Using Star, Tree, Intervals And Boxes}, school={M.S., University of Illinois}, year={1994},}
描述:	碩士國立政治大學應用數學系
資料來源:	http://thesis.lib.nccu.edu.tw/record/#A2002001137
数据类型:	thesis
显示于类别:	[應用數學系] 學位論文

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