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- W230213531 abstract "Let N denote the set of positive integers.The sum graph G~+(S)of a finite subset S(?)N is the graph(S,E)with uv∈E if and only if u+v∈S.A graph G is said to be a sum graph if it is isomorphic to the sum graph of some SN.By using the set Z of all integers instead of N,we obtain the definition of the integral sum graph.A graph G=(V,E)is a rood sum graph if there exists a positive integer z and a labelling,λ,of the vertices of G with distinct elements from {0,1,2,...,z-1} so that uv∈E if and only if the sum,modulo z,of the labels assigned to u and v is the label of a vertex of G.In this paper,we prove that flower tree is integral sum graph.We prove that Dutch m-wind-mill(D_m)is integral sum graph and rood sum graph,and give the sum number of D_m." @default.
- W230213531 created "2016-06-24" @default.
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- W230213531 date "2008-01-01" @default.
- W230213531 modified "2023-09-25" @default.
- W230213531 title "Some Results on Sum Graph, Integral Sum Graph and Mod Sum Graph" @default.
- W230213531 hasPublicationYear "2008" @default.
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