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math.CO2018
Decomposition of Augmented Cubes into Regular Connected Pancyclic Subgraphs
S. A. Kandekar, Y. M. Borse, B. N. Waphare
In this paper, we consider the problem of decomposing the augmented cube into two spanning, regular, connected and pancyclic subgraphs. We prove that for and $ 2…
math.CO2018
Connectivity and edge-bipancyclicity of hamming shell
S. A. Mane, B. N. Waphare
An Any graph obtained by deleting a Hamming code of length n from a n-cube Qn is called as a Hamming shell. It is well known that a Hamming shell is vertex-transitive, edge-transit…
math.CO2018
Decompositions of -Cube into -Cycles
S. A. Tapadia, B. N. Waphare, Y. M. Borse
It is known that the -dimensional hypercube for even, has a decomposition into -cycles for with In this paper, we prove that $Q…