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Group magicness of certain planar graphs
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نویسنده
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نیکمهر محمد جواد ,بهروش سمانه
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منبع
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transactions on combinatorics - 2014 - دوره : 3 - شماره : 2 - صفحه:1 -9
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چکیده
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Let a be a non-trivial abelian group and a = a n f0g. a graph g is said to be a-magicgraph if there exists a labeling l : e(g) ! a such that the induced vertex labeling l+ : v (g) ! a,dene byl+(v) = ? uv2e(g)l(uv)is a constant map. the set of all constant integers such that ?u2n(v) l(uv) = c, for each v 2 n(v),where n(v) denotes the set of adjacent vertices to vertex v in g, is called the index set of g anddenoted by ina(g): in this paper we determine the index set of certain planar graphs for zh, whereh 2 n, such as wheels and fans.
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کلیدواژه
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Index Set ,Magic ,Zero-Sum ,Null Set
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آدرس
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islamic azad university, Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran, ایران, islamic azad university, Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran, ایران
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Authors
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