منابع مشابه
Spanners of Complete k -Partite Geometric Graphs
We address the following problem: Given a complete k-partite geometric graph K whose vertex set is a set of n points in R, compute a spanner of K that has a “small” stretch factor and “few” edges. We present two algorithms for this problem. The first algorithm computes a (5 + )-spanner of K with O(n) edges in O(n log n) time. The second algorithm computes a (3 + )-spanner of K with O(n log n) e...
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A graph is called integral if all the eigenvalues of its adjacency matrix are integers. In this paper, we give a useful sufficient and necessary condition for complete r-partite graphs to be integral, from which we can construct infinite many new classes of such integral graphs. It is proved that the problem of finding such integral graphs is equivalent to the problem of solving some Diophantin...
متن کاملGroup magicness of complete n-partite graphs
Let A be a non-trivial Abelian group. We call a graph G = (V, E) A-magic if there exists a labeling f : E → A∗ such that the induced vertex set labeling f : V → A, defined by f(v) = ∑ uv∈E f(uv) is a constant map. In this paper, we show that Kk1,k2,...,kn (ki ≥ 2) is A-magic, for all A where |A| ≥ 3.
متن کاملOn Interval Colorings of Complete k-partite Graphs K_{n}^{k}
Let G = (V,E) be an undirected graph without loops and multiple edges [1], V (G) and E(G) be the sets of vertices and edges of G, respectively. The degree of a vertex x ∈ V (G) is denoted by dG(x), the maximum degree of a vertex of G-by ∆(G), and the chromatic index [2] of G-by χ(G). A graph is regular, if all its vertices have the same degree. If α is a proper edge coloring of the graph G [3],...
متن کامل2-halvable Complete 4-partite Graphs
A complete 4-partite graph Km1,m2,m3,m4 is called d-halvable if it can be decomposed into two isomorphic factors of diameter d. In the class of graphs Km1,m2,m3,m4 with at most one odd part all d-halvable graphs are known. In the class of biregular graphs Km1,m2,m3,m4 with four odd parts (i.e., the graphs Km,m,m,n and Km,m,n,n) all d-halvable graphs are known as well, except for the graphs Km,m...
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ژورنال
عنوان ژورنال: International Journal of Computer Applications
سال: 2014
ISSN: 0975-8887
DOI: 10.5120/15906-4939