共查询到20条相似文献,搜索用时 781 毫秒
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令简单图G=(V,E)是有p个顶点q条边的图.假设G的顶点和边由1,2,…,p+q所标号,且f:V∪E→{1,2,…,p+q}是一个双射,如果对所有的边xy,f(x)+f(y)+f(xy)是常量,则称图G是边幻图(edge-magic).本文证明了三路树P(m,n,t)当n为偶数,t=n+2时也是边幻图. 相似文献
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三路树P(m,n,t)是边幻图的证明 总被引:1,自引:0,他引:1
文 [1 ]中猜测每一棵树是边幻图 .本文证明了三路树 P( m,n,t) ,当 ( i) n,t为偶数且相等 ;( ii)t=n+1 ;( iii) n为奇数且 t=n+2时为边幻图 . 相似文献
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D. Suryanarayana 《Aequationes Mathematicae》1978,18(1-2):322-329
In this paper, we discuss the pairs (f, h) of arithmetical functions satisfying the functional equation in the title, whereF is the product off andh under the Dirichlet convolution; that is,F(n) = Σ d|n ?(d)h(n/d) andS(m n) = Σd|(m, n) ?(d)h(n/d). The well-known Hölder's identity is a special case of this functional equation (?(n) =n, h(n) = μ(n)). We also generalize the functional equation in the title to any arbitrary regular arithmetical convolution and discuss the pairs of solutions (f, h) of the generalized functional equation and pose some problems relating to the characterization of all pairs of solutions. 相似文献
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K. Navickis 《Lithuanian Mathematical Journal》1988,28(2):162-174
V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 28, No. 2, pp. 299–314, April–June, 1988. 相似文献
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Jiaqun Wei 《代数通讯》2013,41(11):4303-4320
We introduce the notion of (n, t)-quasi projective and show that they are intimately relative to equivalences of module categories. As applications, we give a classification of * n -modules and generalize Fuller's quasi-progenerators naturally. 相似文献
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It is shown that every super-simple (m, n) ring is equationally complete. The atomic varieties of (m, 2) rings and the atomic varieties of (2,n) rings are completely determined. 相似文献
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We investigate the class of generalized convex sets on Grassmann manifolds, which includes known generalizations of convex sets for Euclidean spaces. We extend duality theorems (of polarity type) to a broad class of subsets of the Euclidean space. We establish that the invariance of a mapping on generalized convex sets is equivalent to its affinity. 相似文献
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《Journal of the Egyptian Mathematical Society》2014,22(2):167-173
In this paper, we introduce the concept of fundamental relation θ1 on an (m, n)-hypermodule M as the smallest equivalence relation such that M/θ1 is a commutative (m, n)-module, and then some related properties are investigated. 相似文献