Some Results on Super Harmonic Mean Graphs
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 6, Issue 3
Abstract
Let G be a graph with p vertices and q edges. Let f: V(G) → {1, 2, …, p + q} be a injective function. For a vertex labeling f, the induced edge labeling f∗(e = uv) is defined by f∗(e) = ⌈(2f(u)f(v))/(f(u)+ f(v))⌉ or ⌊(2f(u)f(v))/(f(u)+ f(v))⌋. Then f is called a Super harmonic mean labeling if f(V(G))∪{f(e) / e ϵ E(G)} = {1, 2, …, p + q}. A graph which admits Super harmonic mean labeling is called Super harmonic mean graphs. In this paper, we investigate Super harmonic mean labeling of some graphs.
Authors and Affiliations
C. David Raj , C. Jayasekaran
Keywords
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