A graph G = (V, E ) with vertex set V and edge set E is called (a, b)-choosable ( a 2 2b) if for any collection {L(w)lv E V} of sets L ( v ) of cardinality a there exists a collection Giving a partial solution to a problem raised by Erdos, Rubin, and Taylor in 1979, we prove that every (2. 1)-choos
โฆ LIBER โฆ
Every toroidal graph is acyclically 8-choosable
โ Scribed by Hou, Jian Feng; Liu, Gui Zhen
- Book ID
- 125352507
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2013
- Tongue
- English
- Weight
- 327 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
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We prove the statement of the title, which was conjectured in 1975 by V. G. Vizing and, independently, in 1979 by P. Erdรถs, A. L. Rubin, and H. Taylor. (i) 1994 Academic Press, Inc.
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## Abstract In this article, we first show that every 3โedgeโconnected graph with circumference at most 8 is supereulerian, which is then applied to show that a 3โconnected clawโfree graph without __Z__~8~ as an induced subgraph is Hamiltonian, where __Z__~8~ denotes the graph derived from identify