A relative maximum genus graph embedding and its local maximum genus
β Scribed by Li Deming; Liu Yanpei
- Book ID
- 110611767
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2000
- Tongue
- English
- Weight
- 502 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0168-9673
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π SIMILAR VOLUMES
In this paper, a lower bound on the maximum genus of a graph in terms of its girth is established as follows: let G be a simple graph with minimum degree at least three, and let g be the girth of G. Then ?M(G)~> ~fl(G) + 1 except for G=K4, g-1 where ]~(G) denotes the cycle rank of G and K4 is the co
Abstrart. The maximum genus of a connected graph (: is the maximum among the genera of a!1 cornpact olientable 2-manifolds upon which G has 2-&l embeddings. In the theorems that fc-llow the use of an edg;:-adding techniq se is combined with ihe well-known Edmonds' technique to prfiruce the desired r
Let T be a spanning tree of a connected graph G. Denote by (G; T ) the number of components in G\E(T ) with odd number of edges. The value minT (G; T ) is known as the Betti deΓΏciency of G, denoted by (G), where the minimum is taken over all spanning trees T of G. It is known (N.H. Xuong, J. Combin.