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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Soumya Bhoumik
Department of Mathematics, Fort Hays State University, 600 Part Street, Hays, KS, 67601
Electrical & Electronics Engineering

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Graceful labeling of triangular extension of complete bipartite graph Sarbari Mitra; Soumya Bhoumik
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 7, No 1 (2019): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2019.7.1.2

Abstract

For positive integers m, n, Km, n represents the complete bipartite graph. We name the graph G = Km, n ⊙ K2 as triangular extension of complete bipartite graph Km, n, since there is a triangle hanging from every vertex of Km, n. In this paper we show that G is graceful when m = n = 2ℓ, for any integer ℓ.
Co-Authors Sarbari Mitra