Modular Multiplicative Divisor Labeling of Some Path Related Graphs

Revathi, R.; Rajeswari, R.

doi:10.17485/ijst/2014/v7i12.25

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Cited by 3 publications

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“…. ., p} such that sum of all edge labels f*(uv) = f(u)f(v)(modp); uv ∈ E(G) is a multiple of p. We [3,4] have provided new results concerning MMD graphs and [5] studied the structural properties of MMD graphs. In this paper, we characterize certain families of MMD graphs.…”

Section: Introductionmentioning

confidence: 99%

Characterization of certain families of modular multiplicative divisor graphs

Revathi

Ganesh

2017

Journal of Taibah University for Science

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A modular multiplicative divisor (MMD) labelling of a graph G with p vertices and q edges is a bijection f from the set of all vertices to the set of positive integers {1, 2, . . ., p} such that the sum of all edge labels f*In this paper, we characterize certain classes of MMD graphs. This result is a solution to the open problem posed by G. Sethuraman in AKCE International Journal of Graphs and Combinatorics, No. 1 (2009) 229-236. In addition, we discuss the role of MMD labelling in obtaining cyclic decompositions of certain families of graphs into specific graphs.

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Section: Introductionmentioning

confidence: 99%