ON PLANARITY OF GRAPHS ON WEYL GROUPS

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Published: Dec 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4415
Keywords:
Weyl groups root system planarity of a graph

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S. A. YOUSSEF
Department of Mathematics, Indian Institute of Technology, Kharagpur-721 302, India.
S. G. HULSURKAR
Department of Mathematics, Indian Institute of Technology, Kharagpur-721 302, India.

Abstract




A graph is constructed whose vertices are elements of a Weyl group and the edges are defined through nonvanishing of Wey!'s dimension polynomial at the point associated with two elements of the Weyl group. We study the planarity of such graphs on Weyl groups whose associated root system is irreducible. These graphs include four families of infinite number of graphs. We show that very few graphs, essentially five of them, are planar.




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How to Cite
YOUSSEF, S. A., & HULSURKAR, S. G. (1995). ON PLANARITY OF GRAPHS ON WEYL GROUPS. Tamkang Journal of Mathematics, 26(4), 361–369. https://doi.org/10.5556/j.tkjm.26.1995.4415
Issue
Vol. 26 No. 4 (1995)
Section
Papers
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References

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Samy A. Youssef, Ph. D. Thesis, Indian Istitute of Technology, Kharagpur, July 1993.