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发表于 2025-3-21 16:14:39 | 显示全部楼层 |阅读模式
书目名称Graph Theory in Paris
编辑Adrian Bondy,Jean Fonlupt,Jorge L. Ramírez Alfonsí
视频video
丛书名称Trends in Mathematics
图书封面Titlebook: ;
出版日期Conference proceedings 2007
版次1
doihttps://doi.org/10.1007/978-3-7643-7400-6
isbn_ebook978-3-7643-7400-6Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
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发表于 2025-3-21 22:36:02 | 显示全部楼层
Ralf Weinekötter,Hermann GerickeWe consider simple connected graphs for which there is a path of length at least . between every pair of distinct vertices. We wish to show that in these graphs the cycle space over ℤ. is generated by the cycles of length at least ., where . = 1 for 3 ≤ . ≤ 6, . = 6/7 for . = 7, . ≥ 1/2 for . ≥ 8 and . ≤ 3/4 +.(1) for large k.
发表于 2025-3-22 03:43:11 | 显示全部楼层
https://doi.org/10.1057/9780230212800We give an O(.log log .+..)-time algorithm to recognize perfect circular-arc graphs.
发表于 2025-3-22 07:36:45 | 显示全部楼层
https://doi.org/10.1007/978-3-663-10811-5In this paper we consider the question of determining the maximum number of edges in a Hamiltonian graph of order . that contains no 2-factor with more than one cycle, that is, 2-factor Hamiltonian graphs. We obtain exact results for both bipartite graphs, and general graphs, and construct extremal graphs in each case.
发表于 2025-3-22 10:18:36 | 显示全部楼层
Missile Defences and Asian-Pacific SecurityIn this note we provide a Henneberg-type constructive characterization theorem of [.]-sparse graphs, that is, the graphs for which the number of induced edges in any subset . of nodes is at most .|.| − .. We consider the case 0 ≤ l ≤ ..
发表于 2025-3-22 13:53:15 | 显示全部楼层
,Claude Berge — Sculptor of Graph Theory,Claude Berge fashioned graph theory into an integrated and significant part of modern mathematics. As was clear to all who met him, he was a multifaceted person, whose achievements, however varied they might seem at first glance, were interconnected in many ways.
发表于 2025-3-22 19:25:46 | 显示全部楼层
,-path-connectivity and ,-generation: an Upper Bound on ,,We consider simple connected graphs for which there is a path of length at least . between every pair of distinct vertices. We wish to show that in these graphs the cycle space over ℤ. is generated by the cycles of length at least ., where . = 1 for 3 ≤ . ≤ 6, . = 6/7 for . = 7, . ≥ 1/2 for . ≥ 8 and . ≤ 3/4 +.(1) for large k.
发表于 2025-3-22 21:13:08 | 显示全部楼层
发表于 2025-3-23 04:10:33 | 显示全部楼层
发表于 2025-3-23 05:33:51 | 显示全部楼层
A Note on [,]-sparse Graphs,In this note we provide a Henneberg-type constructive characterization theorem of [.]-sparse graphs, that is, the graphs for which the number of induced edges in any subset . of nodes is at most .|.| − .. We consider the case 0 ≤ l ≤ ..
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