共查询到20条相似文献,搜索用时 15 毫秒
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John Bamberg S.P. Glasby Luke Morgan Alice C. Niemeyer 《Journal of Pure and Applied Algebra》2018,222(10):2931-2951
Let be a prime. For each maximal subgroup with , we construct a d-generator finite p-group G with the property that induces H on the Frattini quotient and . A significant feature of this construction is that is very small compared to , shedding new light upon a celebrated result of Bryant and Kovács. The groups G that we exhibit have exponent p, and of all such groups G with the desired action of H on , the construction yields groups with smallest nilpotency class, and in most cases, the smallest order. 相似文献
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《Discrete Mathematics》2006,306(19-20):2314-2326
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《Discrete Mathematics》2007,307(7-8):916-922
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Let be a digraph with n vertices and m arcs without loops and multiarcs. The spectral radius of G is the largest eigenvalue of its adjacency matrix. In this paper, the following sharp bounds on have been obtained.where G is strongly connected and is the average 2-outdegree of vertex . Moreover, each equality holds if and only if G is average 2-outdegree regular or average 2-outdegree semiregular. 相似文献
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An f-edge cover-colouring of a graph G = (V, E) is an assignment of colours to the edges of G such that every colour appears at each vertex υ∈ V at least f(υ) times.The maximum number of colours needed to f-edge cover colour G is called the f-edge cover chromatic index of G, denoted by χfc(G). This paper gives that min[d(ν)-1/f(ν)] ≤χfc(G) ≤min[d(υ)/f(υ)]. 相似文献
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《Discrete Mathematics》2007,307(9-10):1146-1154
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Let and be the adjacency matrix and the degree matrix of a graph , respectively. The matrix is called the signless Laplacian matrix of . The spectrum of the matrix is called the Q-spectrum of . A graph is said to be determined by its Q-spectrum if there is no other non-isomorphic graph with the same Q-spectrum. In this paper, we prove that all starlike trees whose maximum degree exceed are determined by their Q-spectra. 相似文献
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《Journal de Mathématiques Pures et Appliquées》2005,84(9):1147-1172
Let be a function such that for , for constants . We consider spherically symmetric solutions of where g is a Schwarzschild or more generally a Reissner–Nordström metric, and such that ϕ and ∇ϕ are compactly supported on a complete Cauchy surface. It is proven that for , such solutions do not blow up in the domain of outer communications, provided the initial data are small. Moreover, , where v denotes an Eddington–Finkelstein advanced time coordinate. 相似文献