排序方式: 共有183条查询结果,搜索用时 15 毫秒
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《数学学报》2011,(6):1057-1060
<正>Graphs Whose Critical Groups Have Larger Rank Yao Ping HOU Wai Chee SHIU Wai Hong CHAN Abstract The critical group C(G) of a graph G is a refinement of the number of spanning trees of the graph and is closely connected with the Laplacian matrix.Let r(G) be the minimum number of generators(i.e.,the rank) of the group C(G) andβ(G) be the number of independent 相似文献
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《数学学报》2011,(3):533-536
<正>Distribution of a Certain Partition Function Modulo Powers of Primes Hei-Chi CHAN Abstract In this paper,we study a certain partition function a(n) defined by∑_n≥0 a(n)q~n :=П_(n=1)(1 - q~n)~(-1)(1 - q~(2n)~(-1).We prove that given a positive integer j≥1 and a prime m≥5, there are infinitely many congruences of the type a(An + B)≡0(mod m~j).This work is inspired by Ono's ground breaking result in the study of the distribution of the partition function p(n). 相似文献
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《中国科学:数学》2014,(8):I0001-I0006
<正>Ramanujan-type congruences for broken 2-diamond partitions modulo 3CHEN William Y.C.,FAN Anna R.B.YU Rebecca T.Abstract The notion of broken k-diamond partitions was introduced by Andrews and Paule.Let△_k(n)denote the number of broken k-diamond partitions of n,Andrews and Paule also posed three conjectures on the congruences of△_2(n)modulo 2,5 and 25.Hirschhorn and 相似文献
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《数学年刊A辑(中文版)》2010,(1)
<正>《数学年刊B辑》(Chinese Annals of Mathematics,Series B),每年6期,分别于1,3,5,7,9,11月下旬出版。2010年每期订价20.00元,全年6期订价共120.00元(包括邮费),欢迎订阅。不论老订户或新订户,均请直接汇款给《数学年刊》编辑部。 相似文献
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《数学学报》2012,(3):577-581
<正>Closed 3-stop Center and Periphery in Graphs Linda EROH Ralucca GERA Steven J.WINTERS A delivery person must leave the central location of the business,deliver packages at a number of addresses,and then return.Naturally,he/she wishes to reduce costs by finding the most efficient route.This motivates the following: Given a set of k distinct vertices S = {x_1,x_2,…,x_k} in a simple graph G,the closed k-stop-distance of set S is defined to be 相似文献
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《数学学报》2012,(3):582-586
<正>On a Variant of Giuga Numbers Jose Maria GRAU Florian LUCA Antonio M.OLLER-MARCEN In this paper,we characterize the odd positive integers n satisfying the congruence∑_(j=1)~(n-1) j~((n-1)/2) = 0(rood n).We show that the set of such positive integers has an asymptotic density which turns out to be slightly larger than 3/8. 相似文献
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《高等学校化学研究》2007,23(3):F0004-F0004
"Chemical Research in Chinese Universities"( English Edition, bimonthly) is a comprehensive academic journal in the field of chemistry sponsored by Jilin University mandated by the Ministry of Education of P. R. China and published by the Higher Education Press in China. The journal, started its publication in 1984, sets up four columns including original papers, communications, notes and reviews concentrating on the most recent research achievements of the basic theories, and significant achievements of advanced sciences and technologies in various areas of chemistry contributed by the researchers from Chinese universities, colleges and institutes of Chinese Academy of Sciences all over China. 相似文献