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Embedding Distributions of Generalized Fan Graphs

  Published:2011-08-31
 Printed: Jun 2013
  • Yichao Chen,
    Mathematics Department, Hunan University, Changsha, 410082, PR China
  • Toufik Mansour,
    Department of Mathematics, University of Haifa, Haifa, 31905, Israel
  • Qian Zou,
    Mathematics Department, Hunan University, Changsha, 410082, PR China
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Abstract

Total embedding distributions have been known for a few classes of graphs. Chen, Gross, and Rieper computed it for necklaces, close-end ladders and cobblestone paths. Kwak and Shim computed it for bouquets of circles and dipoles. In this paper, a splitting theorem is generalized and the embedding distributions of generalized fan graphs are obtained.
Keywords: total embedding distribution, splitting theorem, generalized fan graphs total embedding distribution, splitting theorem, generalized fan graphs
MSC Classifications: 05C10 show english descriptions Planar graphs; geometric and topological aspects of graph theory [See also 57M15, 57M25] 05C10 - Planar graphs; geometric and topological aspects of graph theory [See also 57M15, 57M25]
 

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