Manuscript Title:

ON SOME DIVISOR CORDIAL LABELINGS IN H - GRAPH

Author:

S. BALA, S. SARASWATHY, K.THIRUSANGU

DOI Number:

DOI:10.5281/zenodo.14356898

Published : 2024-12-10

About the author(s)

1. S. BALA - Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai.
2. S. SARASWATHY - Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai.
3. K.THIRUSANGU - Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai.

Full Text : PDF

Abstract

In 2011 [11], Varatharajan.et.al., introduced the concept of divisor cordial labeling. Let ๐บ = (๐›ฟ(๐บ), ๐›ฝ(๐บ)) be a graph with p vertices and q edges. A bijective function S : ๏ค (G) ๏‚ฎ {1,2,3,….,p}is said to be a divisor cordial labeling, if an induced function S*(bc) ={ 1 (๐‘ (๐‘)|๐‘ (๐‘)) ๐‘œ๐‘Ÿ(๐‘ (๐‘)|๐‘ (๐‘)) 0 ๐‘œ๐‘กโ„Ž๐‘’๐‘Ÿ๐‘ค๐‘–๐‘ ๐‘’ , ∀ bc ∈ β(G) satisfies the condition |๐›ฝ๐‘  ∗(0)− ๐›ฝ๐‘  ∗ (1)| ≤ 1. A graph which admits a divisor cordial labeling is called a divisor cordial graph. In this paper we investigate the existence of some divisor cordial labelings of the H graph.


Keywords

Graph Labeling, H-Graph, Triplicate Graph, Divisor Cordial Labeling