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Computation of even-odd harmonious labeling of graphs obtained by graph operations
Kalaimathi M,
Published in AIP Publishing
2019
Volume: 2177
   
Abstract
Let G(V, E) be a graph with order p and size q. The graph G is called as an even-odd harmonious graph if there exists an 1-1 map f:V → {1, 3, 5, ⋯, 2p - 1} and a bijective map f∗:E → {0, 2, ⋯, 2(q - 1)} such that f∗(e = uv) = (f(u) + f(v))(mod 2q). This computation of assigning the numbers to the vertices and edges of G is called an even-odd harmonious labeling of G. This article shows the existence of this labeling to certain family of graphs obtained through graph operations viz., i) Union of graphs ii) Superimposing and iii) Corona. © 2019 Author(s).
About the journal
JournalData powered by TypesetRECENT TRENDS IN PURE AND APPLIED MATHEMATICS
PublisherData powered by TypesetAIP Publishing
ISSN0094243X
Open AccessNo