MMD labeling of EASS of cartesian product of two graphs

R. Revathi (), D. Angel () and I. Annammal ()
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R. Revathi: Saveetha School of Engineering
D. Angel: Sathyabama Institute of Science and Technology
I. Annammal: St.Anne’s Arts and Science College

OPSEARCH, 2023, vol. 60, issue 2, No 12, 870-876

Abstract: Abstract A graph G(p,q) is said to be modular multiplicative divisor (MMD) if there exist a one-to-one and on to function f from vertices of the graph to set of all natural numbers from 1 to p and label induced on the edges defined by the product of labels of end vertices modulo p such that addition of all edge labels is congruent to 0 (mod p).This paper studies the construction of larger families of graphs resulting from one of the graph operations namely even arbitrary super subdivision and the roll of MMD labeling in the context of Cartesian product of two graphs. Finally we discussed the open problem which is related to the application of MMD labeling in the absence of some parameters.

Keywords: Graph labeling; MMD labeling; Even arbitrary super subdivision; Cartesian product; 05C78 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s12597-023-00637-0

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