𝔖 Bobbio Scriptorium
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-labelings of Cartesian products of two cycles

✍ Scribed by Christopher Schwarz; Denise Sakai Troxell


Book ID
108112575
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
805 KB
Volume
154
Category
Article
ISSN
0166-218X

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## Abstract Every labeling of the vertices of a graph with distinct natural numbers induces a natural labeling of its edges: the label of an edge (__x, y__) is the absolute value of the difference of the labels of __x__ and __y.__ By analogy with graceful labelings, we say that a labeling of the ve

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For a graph G, let D(G) be the family of strong orientations of G. Define d ៝ (G) Γ… min {d(D)Γ‰D √ D(G)} and r(G) Γ… d ៝ (G) 0 d(G), where d(D) [respectively, d(G)] denotes the diameter of the digraph D (respectively, graph G). Let G 1 H denote the Cartesian product of the graphs G and H, and C p , th