Square Sum And Square Difference Labelings Of Semitotal-block Graph For Some Class Of Graphs
Autor: | Keerthi G. Mirajkar, Priyanka Sthavarmath G. |
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Jazyk: | angličtina |
Rok vydání: | 2023 |
Předmět: | |
Zdroj: | Ratio Mathematica, Vol 47, Iss 0 (2023) |
Druh dokumentu: | article |
ISSN: | 1592-7415 2282-8214 |
DOI: | 10.23755/rm.v47i0.804 |
Popis: | A graph G is said to be square sum and square difference labeling, if there exists a bijection f from V (G) to {1, 2, 3, ..., (p − 1)} which induces the injective function f ∗ from E(G) to N, defined by f ∗(uv) = f(u)2 + f(v)2 and f ∗(uv) = f(u)2 − f(v)2 respectively, for each uv ∈ E(G) and the resulting edges are distinctly labeled. G is said to be square sum and square difference graph, if it asdmits a square sum and square difference labeling respectively. The present work investigates, square sum and square difference labeling of semitotal-block graph for some class of graphs which are proved using number theory concept. |
Databáze: | Directory of Open Access Journals |
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