Oct 4, 2012 · In this paper, on the basis of joint tree model introduced by Liu, by dividing the associated surfaces into segments layer by layer, ...
In this paper, by dividing an associated surface into segments layer by layer and doing a sequence of operations on the layer division, we obtain the genus of ...
on the Number of Genus Embeddings of Complete Bipartite Graphs. Shao, Z.; Liu, Y.; Li, Z. Graphs and Combinatorics 29(6): 1909-1919.
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The genus of a graph can be found using the formula \chi=2-2g . According to Ringel, for any positive integer n , the genus of the complete bipartite graph ...
In this paper, we provide an method to obtain the lower bound on the number of the distinct maximum genus embedding of the complete bipartite graph Kn;n (n ...
The most difficult part of the proof was to construct one orientable and one nonorientable genus embedding of every complete graph K n .
May 23, 2023 · We resolve these missing cases using three classic tools for constructing genus embeddings of the complete bipartite graphs: current graphs, ...
May 30, 2013 · Genus of a complete bipartite graph · 4 · Kn as an union of bipartite graphs · 4 · Embeddings of Complete Graphs and Their Topology · 4 · Are " ...
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Based on it, firstly, the genus of a new type of graph is derived. Then the number of non-homeomorphic genus embeddings of some complete bipartite graph is ...