Department of Mathematics The Chinese University of Hong Kong, Shatin, Hong Kong, P.R. China
Gee-Choon Lau, Wai Chee Shiu, Ho-Kuen Ng, Zhen-Bin Gao, Karl Schaffer
In this paper: Let G(V, E) be a simple and loopless graph with |V| vertices and |E| edges. For k ≥ 1, a graph G is called k-super graceful if there is a bijective labeling f : V ∪ E → {i | k ≤ i ≤ k + |V| + |E| –...
Qiong Wu, Wai Chee Shiu
In this paper: For positive number d, an L(1, d) -labeling f of G is an assignment of numbers to vertices of G such that |f(u) - f(v)| ≥ 1 if d(u, v) = 1, and |f(u) - f(v)| ≥ d if d(u, v) = 2. Then the span of f is...
Gee-Choon Lau, Wai Chee Shiu, Chee-Xian Soo
In this paper: An edge labeling of a connected graph G = (V, E) is said to be local antimagic if it is a Bijection f : E → {1, … ,|E|} such that for any pair of adjacent vertices x and y, f+(x) ≠ f+(y), where the in...
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