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- HongJian Lai, Lianying Miao, Yehong Shao, Liangxia Wan
- 2004

A graph G is triangularly connected if for every pair of edges e 1 , e 2 ∈ E(G), G has a sequence of 3-cycles C 1 , C 2 , · · · , C l such that e 1 ∈ C 1 , e 2 ∈ C l and such that E(C i) ∩ E(C i+1) = ∅, (1 ≤ i ≤ l − 1). In this paper it is shown that every triangularly connected claw-free graph G with |E(G)| ≥ 3 is vertex pancyclic. This implies the former… (More)

- Liangxia Wan, Yanpei Liu
- J. Comb. Theory, Ser. B
- 2008

- Liangxia Wan, Yanpei Liu
- Ars Comb.
- 2006

- Liangxia Wan, Yanpei Liu
- Appl. Math. Lett.
- 2009

- Liangxia Wan, Yanpei Liu
- Ars Comb.
- 2010

In this paper we develop the technique of a distribution decomposition for a graph. A formula is given to determine genus distribution of a cubic graph. Given any connected graph, it is proved that its genus distribution is the sum of those for some cubic graphs by using the technique. We consider finite connected graphs. Surfaces are orientable… (More)

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