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root systems; Weyl Groups; connectivity in a graph

References:

[1] Hulsurkar S.G.: **Nonplanarity of graphs on Weyl groups**. J. Math. Phys. Sci., 24(1990) 363. MR 1087693

[2] Hupmhreys J.E.: **Introduction to Lie Algebras and Representation theory**. Springer-Verlag, New York, 1972. MR 0323842

[3] Verma D.-N.: **Role of Affine Weyl Groups in the Representation Theory of Algebraic Chevalley Groups and their Lie Algebras**. in “Lie Groups and their Representations", Ed. I.M.Gelfand, Halstead, New York, 1975. MR 0409673 | Zbl 0316.20030

[4] Hulsurkar S.G.: **Proof of Verma’s conjecture on Weyl’s dimension polynomial**. Inventiones Math., 27(1974), 45. MR 0369555 | Zbl 0298.17005

[5] Narsingh Deo: **Graph Theory**. Prentice Hall of India, New Delhi, 1990.

[6] Youssef, Samy A., Hulsurkar S.G.: **On Connectedness of graphs on Weyl Groups of type $ A_n (n \ge 4) $**. Arch. Math. (Brno) 31(1995), 163-170. MR 1368255