VOLUME OF GRAPH POLYTOPES FOR THE PATH-STAR TYPE GRAPHS

- Journal title : Honam Mathematical Journal
- Volume 38, Issue 1, 2016, pp.71-84
- Publisher : The Honam Mathematical Society
- DOI : 10.5831/HMJ.2016.38.1.71

Title & Authors

VOLUME OF GRAPH POLYTOPES FOR THE PATH-STAR TYPE GRAPHS

Ju, Hyeong-Kwan; Seo, Soo-Jeong;

Ju, Hyeong-Kwan; Seo, Soo-Jeong;

Abstract

The aim of this work is to compute the volume of the graph polytope associated with various type of finite simple graphs composed of paths and stars. Recurrence relations are obtained using the recursive volume formula (RVF) which was introduced in Lee and Ju ([3]). We also discussed the relationship between the volume of the graph polytopes and the number of linear extensions of the associated posets for given bipartite graphs.

Keywords

graph polytope;volume;generating function;path-star type graph;

Language

English

References

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H.-K. Ju, S. Kim and S.-J. Seo, On the Volume of Graph Polytopes, Honam Math. J. 37(2015), No.3, 361-376.

3.

D. Lee and H.-K. Ju, Different volume computation methods of graph polytopes. Preprint(arXiv:1507.07623v1 [math.CO]), 2015, submitted.

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