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Enumeration of Triangles in a Divisor Cayley Graph

T Chalapathi
L Madhavi
S Venkataramana


In this paper a new class of arithmetic Cayley graphs, namely, divisor Cayley graphs associated with the divisor function d ƒvnƒw , n „d1,an integer is introduced. It is shown that this graph is regular, hamiltonian, connected and not bipartite, and when n is odd it is eulerian. The enumeration of triangles in this graph is also presented

Key words: Arithmetic graph, Cayley graph, Hamilton cycle, Fundamental triangle and Triangle.

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eISSN: 2220-184X
print ISSN: 2073-073X