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Fault Hamiltonicity and fault Hamiltonian connectivity of the (n, k)-star graphs

โœ Scribed by Hong-Chun Hsu; Yi-Lin Hsieh; Jimmy J. M. Tan; Lih-Hsing Hsu


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
252 KB
Volume
42
Category
Article
ISSN
0028-3045

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The existence of a 2-factor in K1, n-fre
โœ R. E. L. Aldred; Yoshimi Egawa; Jun Fujisawa; Katsuhiro Ota; Akira Saito ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 130 KB ๐Ÿ‘ 1 views

In this article, we study the existence of a 2-factor in a K 1,nfree graph. Sumner [J London Math Soc 13 (1976), 351-359] proved that for n โ‰ฅ 4, an (n-1)-connected K 1,n -free graph of even order has a 1-factor.