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Mengerian properties, hamiltonicity, and claw-free graphs

โœ Scribed by E. Flandrin; H. Li


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
603 KB
Volume
24
Category
Article
ISSN
0028-3045

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๐Ÿ“œ SIMILAR VOLUMES


Toughness and hamiltonicity in almost cl
โœ Broersma, H.J.; Ryj๏ฟฝ?ek, Z.; Schiermeyer, I. ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 491 KB ๐Ÿ‘ 3 views

Some known results on claw-free (Kl,3-free) graphs are generalized to the larger class of almost claw-free graphs which were introduced by RyjaEek. In particular, w e show that a 2-connected almost claw-free graph is I-tough, and that a 2-connected almost claw-free graph on n vertices is hamiltonian

Hamilton cycles in claw-free graphs
โœ Cun-Quan Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 299 KB ๐Ÿ‘ 2 views
Hamiltonicity and Minimum Degree in 3-co
โœ Odile Favaron; Pierre Fraisse ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 112 KB

Using Ryja c ek's closure, we prove that any 3-connected claw-free graph of order & and minimum degree $ &+38 10 is hamiltonian. This improves a theorem of Kuipers and Veldman who got the same result with the stronger hypotheses $ &+29 8 and & sufficiently large and nearly proves their conjecture sa

Hamilton connectivity of line graphs and
โœ Zhiquan Hu; Feng Tian; Bing Wei ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 117 KB

## Abstract Let __G__ be a graph and let __V__~0~โ€‰=โ€‰{ฮฝโˆˆ __V__(__G__): __d__~__G__~(ฮฝ)โ€‰=โ€‰6}. We show in this paper that: (i) if __G__ is a 6โ€connected line graph and if |__V__~0~|โ€‰โ‰คโ€‰29 or __G__[__V__~0~] contains at most 5 vertex disjoint __K__~4~'s, then __G__ is Hamiltonโ€connected; (ii) every 8โ€co

Maximal K3's and Hamiltonicity of 4-conn
โœ Jun Fujisawa; Katsuhiro Ota ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 255 KB ๐Ÿ‘ 1 views

## Abstract Let __cl__(__G__) denote Ryjรกฤek's closure of a clawโ€free graph __G__. In this article, we prove the following result. Let __G__ be a 4โ€connected clawโ€free graph. Assume that __G__[__N__~__G__~(__T__)] is cyclically 3โ€connected if __T__ is a maximal __K__~3~ in __G__ which is also maxim