منابع مشابه
Some Applications of Strong Product
Let G and H be graphs. The strong product GH of graphs G and H is the graph with vertex set V(G)V(H) and u=(u1, v1) is adjacent with v= (u2, v2) whenever (v1 = v2 and u1 is adjacent with u2) or (u1 = u2 and v1 is adjacent with v2) or (u1 is adjacent with u2 and v1 is adjacent with v2). In this paper, we first collect the earlier results about strong product and then we present applications of ...
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A defensive alliance in a graph is a set $S$ of vertices with the property that every vertex in $S$ has at most one moreneighbor outside of $S$ than it has inside of $S$. A defensive alliance $S$ is called global if it forms a dominating set. The global defensive alliance number of a graph $G$ is the minimum cardinality of a global defensive alliance in $G$. In this article we study the global ...
متن کاملNote on Strong Product of Graphs
Let G and H be graphs. The strong product G⊠H of graphs G and H is the graph with vertex set V (G) × V (H) and u = (u1, v1) is adjacent with v = (u2, v2) whenever (v1 = v2 and u1 is adjacent with u2) or (u1 = u2 and v1 is adjacent with v2) or (u1 is adjacent with u2 and v1 is adjacent with v2). In this paper, we study some properties of this operation. Also, we obtain lower and upper bounds for...
متن کاملGeneralized Degree Distance of Strong Product of Graphs
In this paper, the exact formulae for the generalized degree distance, degree distance and reciprocal degree distance of strong product of a connected and the complete multipartite graph with partite sets of sizes m0, m1, . . . , mr&minus1 are obtained. Using the results obtained here, the formulae for the degree distance and reciprocal degree distance of the closed and open fence graphs are co...
متن کاملOn strong tractability of weighted multivariate integration
We prove that for every dimension s and every number n of points, there exists a point-set Pn,s whose -weighted unanchored L∞ discrepancy is bounded from above by C(b)/n1/2−b independently of s provided that the sequence = {γk} has ∑∞ k=1 γ a k < ∞ for some (even arbitrarily large) a. Here b is a positive number that could be chosen arbitrarily close to zero and C(b) depends on b but not on s o...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1978
ISSN: 0022-1236
DOI: 10.1016/0022-1236(78)90091-5