Let T = (V, E) be a tree with a properly 2-colored vertex set. A bipartite labeling of T is a bijection Ο: V β {1, . . . , |V |} for which there exists a k such that whenever Ο(u) β€ k < Ο(v), then u and v have different colors. The Ξ±-size Ξ±(T ) of the tree T is the maximum number of elements in the
β¦ LIBER β¦
(2, 1)-Total Labeling of Trees with Maximum Degree 4
β Scribed by Haina Sun; Jinghong Liu
- Book ID
- 113847407
- Publisher
- Elsevier
- Year
- 2012
- Tongue
- English
- Weight
- 140 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1875-3892
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## Abstract The (__d__,1)βtotal number $\lambda \_{d}^{T}(G)$ of a graph __G__ is the width of the smallest range of integers that suffices to label the vertices and the edges of __G__ so that no two adjacent vertices have the same color, no two incident edges have the same color, and the distance
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