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2021 | 156 | 1-12
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Some Results on Octagonal Graceful Graphs

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Abstracts
EN
Numbers of the form On = n (3n-2) for all n≥1 are called octagonal numbers. Let G be a graph with p vertices and q edges. Let f: V (G) → {0, 1, 2… Om} where Om is the mth octagonal number be an injective function. Define the function f*:E(G) → {1,8,21,..,Om} such that f*(uv) = |f(u)-f(v)| for all edges uvϵE(G). If f*(E (G)) is a sequence of distinct consecutive octagonal numbers {O1, O2 , …, Oq }, then the function f is said to be octagonal graceful labeling and the graph which admits such a labeling is called a octagonal graceful graph. In this paper, octagonal graceful labeling of some graphs is studied.
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156
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1-12
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Contributors
author
  • Department of Mathematics, The Madurai Diraviyam Thayumanavar Hindu College, Tirunelveli, Tamil Nadu, India
  • Department of Mathematics, The Madurai Diraviyam Thayumanavar Hindu College, Tirunelveli, Tamil Nadu, India
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Document Type
article
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YADDA identifier
bwmeta1.element.psjd-e89329bc-077c-4eb2-9db1-d22a56a2c3ef
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