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The sufficientcondition is given to prove that Parsons graphs Tb(2, q) is l -- factorable. The author discussesthe directional Parsons graPhs DTb and gives some new conclusions about them. In theend, the author brings forward some new concepts about Parsons graphs and makes someelementary discussions on them.

给出了Parsons图是1—因子可分解的一个充分条件,并证明了部分Parsons图是1—因子可分解的;对有向Parsons图进行了讨论,并给出了一些结论;另外,我们还针对Parsons图提出了一些新的概念,并对其进行了初步讨论。

Tissue design module can realize the function of tissue integration and tissue disintegration, Tissue integration can obtain many kinds of tissue pattern because of the different method of pulling on heddle.

组织设计可以实现组织的综合以及分解,综合可以通过各种穿综方法获得不同的组织意匠图,而组织的分解可以由组织图分解得到某种穿综方式的穿综图和纹板图。

Further, in thispaper, we discuss the operation for the graphs that have an ASD, and prove that the mixed product of circular graph has an ASD; Further more, in this paper we prove that the tensor product for two graphs which both have an ASD has an ASD.

进一步地,我们还探讨了可升分解的图的运算,证明了循环图的混合积可以升分解;更深入地,本论文还证明了两个可升分解的图的张量积可以升分解。

In other words,an affirmative answer are given for the question on the set of factorization indicesof completely positive realizations of a graph raised by N.

关于完全正矩阵:本文给出圈的双非负实现为完全正的一个充要条件,并确定其非负分解指数和非负分解;证明完全正图的非负分解指数集没有缺数,换句话说,给出了关于图的完全正矩阵实现的非负分解指数集的N。

In 1987, the well-know mathematician Yousef Alavi and other famous mathematicians defined a new decomposition of graph-Ascending Subgraph Decomposition which is on the condition of proper subgraph isomorphic, and in the same paper they proposed the following ASD conjecture: every graph of positive size has an ASD.

升分解(ascending subgraph decomposition,简记为ASD)是1987年闻名世界的数学家Alavi与其他几位著名数学家给出的一种在真子图同构意义下的图的新分解,并且在同一论文中他们还提出了一个升分解猜想:任意有正数条边的图都可升分解。

In this dissertation, we discuss mainly the existence problem of large sets of Hamiltoncycle and path decompositions.

本文主要研究完全图、完全二部图、完全对称有向图及完全对称有向二部图上的无向Hamilton圈和Hamilton路分解的大集问题以及几乎Hamilton圈和几乎Hamilton路分解的大集问题。

Give me an exploded view.

给我分解图

Parts No.. The implified diagram instruction for standard parts at the end of the book can help you find the exploded view of the needed

以帮助您确定所需标准件的标号、适用标准等,而&分解图号码说明&可以帮助您了解所需零部件所在的分解图

Figure C.1 shows an exploded view of an injection mould with interchangeable two-caity plates for type A,B,C,D1 andD2 ISO moulds as well as for customer-tailored as/if possible.

图 C1显示了具有可互换双腔板的用于 A,B,C,D1及 D2型 ISO 模具以及可以为用户定做的注塑模具的分解图

When 〓 is the family of bipartite graphs,the 〓 capacityand the 〓 valency of a graph G are referred to as the biparticitydenoted by β(Gand the bivalencydenoted by 〓(Gof G respectively;when 〓 is the family ofgraphs whose components are complete bipartite graphs,the 〓 capacity and the〓 valency of a graph G are referred to as the complete biparticitydenoted byc(Gand the complete bipartite valencydenoted by 〓(Gof G respectively;andwhen 〓 is the family of star forests,the 〓 capacity and the 〓 valency of a graphG are referred to as the star arboricitydenoted by st(Gand the star valency ofG(denoted by 〓)respectively.

以v记图G的完全二部分解中顶点υ所关联的π中完全二部图的个数,记〓这里π取遍G的所有完全二部分解。我们称υ为G的完全二部次。对一般的图,当图的阶数充分大时,P。〓和L.Pyber给出了υ的一个上界,即,〓。F.R.K.Chung等人及Z.Tuza的结果说明这一上界是不可改进的。对υ的具体值,即使是对某些特殊的图类,结果也知之甚少。P.C.Fishburn和P.L.Hammer给出了一个相关的结果:当n≤16时,〓,(在υ的定义中,以完全二部覆盖替代完全二部分解,即得〓。同时他们提出了下述公开问题。问题1。〓=?

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