Wheels, Cages and Cubes.

Sudhakara, G (2002) Wheels, Cages and Cubes. In: Number Theory and Discrete Mathematics. Hindustan Book Agency, pp. 251-259.

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Abstract

Let G=(V, E) be a graph of order p> 2 and P={V 1, V2,.. Vk] be a partition of V of order k. The k-complement Gpk of G is obtained as follows: For all Vand Vj in P, i≠ j. remove the edges between Vi and Vj, and add the missing edges between them. G is said to be k-self- complementary if for some partition p of V of orde Gpk ≈ G and it is said to be co self complementary if Gpk ≈ G ̅.In this paper we characterize the k-self complementary generalized wheels, cages and cubes.

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