共查询到20条相似文献,搜索用时 31 毫秒
2.
In this paper, we show that for any fixed integers and , the star-critical Ramsey number for all sufficiently large . Furthermore, for any fixed integers and , as . 相似文献
3.
4.
5.
Ping Sun 《Discrete Mathematics》2012,312(24):3649-3655
6.
7.
Motivated by the relation , holding for the -generalized Catalan numbers of type and , the connection between dominant regions of the -Shi arrangement of type and is investigated. More precisely, it is explicitly shown how copies of the set of dominant regions of the -Shi arrangement of type , biject onto the set of type such regions. This is achieved by exploiting two different viewpoints of the representative alcove of each region: the Shi tableau and the abacus diagram. In the same line of thought, a bijection between copies of the set of -Dyck paths of height
and the set of lattice paths inside an rectangle is provided. 相似文献
8.
Ping Sun 《Discrete Mathematics》2018,341(4):1144-1149
This paper considers the enumeration problem of a generalization of standard Young tableau (SYT) of truncated shape. Let be the SYT of shape truncated by whose upper left cell is , where and are partitions of integers. The summation representation of the number of SYT of the truncated shape is derived. Consequently, three closed formulas for SYT of hollow shapes are obtained, including the cases of (i). , (ii). , and (iii). . Finally, an open problem is posed. 相似文献
9.
10.
Ken Kamano 《Discrete Mathematics》2018,341(2):341-349
A lonesum matrix is a -matrix that is uniquely determined by its row and column sum vectors. In this paper, we introduce lonesum decomposable matrices and study their properties. We provide a necessary and sufficient condition for a matrix to be lonesum decomposable, and give a generating function for the number of lonesum decomposable matrices of order . Moreover, by using this generating function we prove some congruences for modulo a prime. 相似文献
11.
Ye Wang 《Discrete Mathematics》2017,340(12):2782-2788
Let be the finite field of elements for prime power and let be the character of . For any positive integer , the linearized Wenger graph is defined as follows: it is a bipartite graph with the vertex partitions being two copies of the -dimensional vector space , and two vertices and being adjacent if , for all . In this paper, we show that for any positive integers and with , contains even cycles of length which is an open problem put forward by Cao et al. (2015). 相似文献
12.
13.
Greg Malen 《Discrete Mathematics》2018,341(9):2567-2574
For any fixed graph , we prove that the topological connectivity of the graph homomorphism complex Hom() is at least , where , for the minimum degree of a vertex in a subgraph . This generalizes a theorem of C?uki? and Kozlov, in which the maximum degree was used in place of , and provides a high-dimensional analogue of the graph theoretic bound for chromatic number, , as . Furthermore, we use this result to examine homological phase transitions in the random polyhedral complexes Hom when for a fixed constant . 相似文献
14.
15.
17.
18.
19.
Denote by the space of polynomials of two variables with real coefficients of total degree less than or equal to . Let be given. For we look for the polynomial , which has least maximum norm on the disc and call such a polynomial a min–max polynomial. First we introduce the polynomial and , where , and show that it is a min–max polynomial on the disc. Then we give a sufficient condition on the coefficients fixed, such that for every , the linear combination is a min–max polynomial. In fact the more general case, when the coefficients and are allowed to depend on and , is considered. So far, up to very special cases, min–max polynomials are known only for ,. 相似文献
20.