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- W2353869058 abstract "Given a graph g and positive integers p≥q,an L(p,q)-labeling of g is a function f: V(G)→{0,1,2,…},such that,for any two vertices x,y∈V(G),|f(x)-f(y)|≥p if d_G(x,y)=1;and|f(x)f(y)|≥q if d_G(x,y)=2.An m-L(p,q)-labeling is an L(p,q)-labeling so that no label used is greater than m.The L(p,q)-number of g,denoted by λ_(p,q)(G),is the smallest number m such that g has an m-L(p,q)-labeling.different upper bound of some families of graphs incluing k-degenerated graph、joins G_1∨G_2 of graphs G_1 and G_2,M-matched sum G_1M~+G_2 of G_1 and G_2 are presented.In particular,we show that the lower and the upper bounds of λ_(p,1)(G),for cactus and unicycle are both attainable." @default.
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- W2353869058 date "2006-01-01" @default.
- W2353869058 modified "2023-09-28" @default.
- W2353869058 title "On L(p,q)-labeling of graphs" @default.
- W2353869058 hasPublicationYear "2006" @default.
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