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Embedding edge-colorings into 2-edge-connected k-factorizations of kkn+1

✍ Scribed by C. A. Rodger; E. B. Wantland


Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
812 KB
Volume
19
Category
Article
ISSN
0364-9024

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✦ Synopsis


Abstract

In this paper we use the Hilton method of amalgamations to give a different proof of a theorem of Nash‐Williams that finds necessary and sufficient conditions for the embedding of an edge‐colored K~v~ into an edge‐colored K~v~ in which the edges of each color induce a 2‐edge‐connected k‐factor. © 1995 John Wiley & Sons, Inc.


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The existence of a 2-factor in K1, n-fre
✍ R. E. L. Aldred; Yoshimi Egawa; Jun Fujisawa; Katsuhiro Ota; Akira Saito 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB 👁 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 ≥ 4, an (n-1)-connected K 1,n -free graph of even order has a 1-factor.