网络释义 1. 距离正则图形 这类组合结构也以距离正则图形(distance regular graphs) 的形式活跃於代数组合学的范畴里。过去多年的研究工作,就是针对 … www.math.nctu.edu.tw|基于2个网页
B. Curtin, "The Terwilliger algebra of a 2-homogeneous bipartite distance-regular graph," J. Combin. Theory Ser. B, to appear.P. Terwilliger and C. Weng, Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra, Eur. J. Comb. 25 (2004), 287-298....
When this occurs we say that the distance–regular graph has the M-property. We prove that only distance–regular graphs with diameter up to three can have the M-property and we give a characterization of the graphs that satisfy the M-property in terms of their intersection array. Moreover...
Inequalities are obtained between the various parameters of a distance-regular graph. In particular, if k 1 is the valency and k 2 is the number of vertices at distance two from a given vertex, then in general k 1 k 2 . For distance-regular graphs of diameter at least four, k 1 =k...
distance-regular graphcoveringHamming scheme/ C4240 Programming and algorithm theory C1160 Combinatorial mathematicsIt is shown that for any distance-regular graph Γ with c 2 = 2, c 3 = 3, and a 2 = 2 a 1 ( a 1 ≠ 2), there exists a covering θ: H( n, q) →Γ where q = ...
4) distance regular graph 距离正则图 1. By using the eigenvalue techniques and properties of intersection numbers,it is obtained that the distance regular graphs with the following intersection arrays are nonexistence. 利用距离正则图的特征值方法和交叉数的性质,证明了具有下列交叉阵列的距离正则图是...
Distance-Regular Graphs and Halved Graphs 来自 Semantic Scholar 喜欢 0 阅读量: 37 作者: J Hemmeter 摘要: Let G be a bipartite distance-regular graph with bipartition V(G) = X ∪ Y. Let V(G′) = X and, for x and y in X, let x be adjacent to y in G′ if and only if ...
We show that if Γ is a distance-regular graph of diameter d , height h >1 and every p d d,h -graph is a clique, then h ∈{ d 1, d }.doi:10.1007/s003730050075Akira HirakiSpringer-VerlagGraphs & Combinatorics
01 讲座主题 On recent progress in distance-regular graphs 02 主讲人 Jack Koolen 教授 03 讲座时间 6月28日上午10:00 04 讲座地点 蛟桥园北区综合楼414会议室 05 主讲人介绍 Jack Koolen is currently a full professor at the Univers...
We complete the determination of the graphs in the title, begun by Cvetkovi, Doob, and Gutman. AE Brouwer,A Neumaier - 《Linear Algebra & Its Applications》 被引量: 93发表: 1989年 MR imaging of the brachial plexus: comparison between 1.5-T and 3-T MR imaging: preliminary experience Object...