number n. 1.数;数字;〔pl.〕算术。 2.(汽车等的)号码;第…,第…卷,第…期〔通常略作 No. (复数 Nos.),用于数字之前〕。 3.伙伴;号子,囚犯。 4.数目;〔pl.〕大批,数量上的优势,许多,若干。 5.【乐、韵】音律,韵律;〔pl.〕【音乐】乐谱,调子,节奏,拍子;〔pl.〕【诗】诗,韵文;【语法】数。 6.〔口语〕(从多数当中挑选出来的)人,物。 7.一群人,一帮人。 cardinal [ordinal] numbers 基[序]数。 an even [odd] number 偶[奇]数。 a whole [an integral] number 整数。 the acid number 【化学】酸值。 the atomic number 原子序数。 a high [low] number 大[小]数。 the science of numbers 算术。 a telephone number 电话号码。 the number of a car 车号。 a dead number 空号。 the April number (杂志的)四月号。 Nos. 1-5 第一号到第五号。 No. 9 (pill) 〔美军〕百宝丹,清导丸,通便丸。 He is not of our number. 他可不是我们中的一分子。 He is among the number of the dead. 他也在死亡之列。 a number of books 许多书。 a great [large] number of people 很多很多的人。 the singular [plural] number 单[复]数。 a number of 若干;〔口语〕=numbers of 许多的。 back number 过了期的一期报刊杂志;过时的人或事物;落后、顽固、反动的人物。 by number= in numbers. get [have] sb.'s number 〔美俚〕对某人的性格、动机等作确实的估价。 have sb.'s number on it 〔美俚〕注定是某人死亡的原因。 in number 总共;用数字表示,在数字上。 in numbers (杂志等)分为数册,分数次(The story is issued in numbers. 那部小说是分册出版的)。 in round numbers 以整数[约数]表示;约莫,大概;总而言之。 lose the number of one's mess 〔英海军行话〕死,“报销”。 make up by numbers 以多为胜。 number one 1. 头号(的),第一流(的)。 2. 〔口语〕自己;自己的利益(take care of [look after] number one 替自己打算)。 3. 〔口语〕小便。 numbers pool 猜数字小赌博。 One's number is up. 〔俚语〕某人劫数[死期]已到。 one's number two 副手,副职,接班人。 one's opposite number 对等的人[物]。 out of [without] number(s) 无数的。 the numbers =numbers pool. There are numbers who .... …的人很多。 to the number of …多到。 win by (force of) numbers 靠人多得胜。 without [beyond] number=out of number. vt. 1.给…编号[记号数,加号码]。 2.达…之数,共计…,(人口)有…。 3.算入…(数)内;认为 (among in with)。 4.〔主用被动形〕已有限定,有限;〔古,雅〕数,计算。 5.活了…岁,足…岁。 The guests number 20. 客人有二十位。 His days are numbered. 他(在世)的日子不多了。 vi. 算在…数内;计;报数。 number off 〔上操〕报数;〔口令〕号码! n. -er 编号人;计数员。
Binding number and minimum degree conditions for graphs to have fractional factors 图有分数因子的联结数和最小度条件
The properties of binding number are discussed , the value scope of binding number is obtained , and the existence of digraphs with a given binding number is proved . two conjectures on the relationship between binding number and girth are proposed 在此基础上,论文讨论了有向图结合数的性质,得到了结合数的范围并论证了给定结合数的有向图的摘要存在性,提出了关于结合数与围长之间联系的两个猜想
They are binding number , scattering number , integrity and edge - integrity , tenacity and edge - tenacity , toughness etc . these parameters show the most serious damage and the situation of a network after the damage simultaneously , so they measure the connectivity of graphs more accurate 这些参数同时反映了一个网络可能遭到的最大程度的破坏和被最大程度破坏后剩余部分的工作状态,因此更好地刻画了图的连通性。
In chapter 4 , the conception of binding number of undirected graphs is introduced to digraphs , based on which the relationship between degree condition of vertices and girth is generalized to the relationship between neighborhood condition of vertices sets and girth 由于若无向图g的结合数b ( g ) 3 / 2 ,则g中存在三角形,而caccetta - h ( ? ) ggkvist猜想研究有向图中存在有向三角形的条件,受此启发,我们在有点向图中引入结合数的概念。
Also , the binding numbers of some special digraphs are computed and the relationship between binding number and connectivity is analyzed . at the end of the thesis , we give an overview of the whole contents of the thesis and also propose some problems for further research 最后,我们对本论文的结果加以总结,归纳了文章中提出的或遗留的问题,给出了论文中提到的有向图中尚未解决的猜想之间的相互关系,并对进一步的研究给予展望
This thesis contributes to directed cycles in digraphs , including the relations between the girth g ( d ) ( length of the shortest directed cycle ) of d and degrees of vertices of d and between the shortest directed cycle of d and the binding number of d , among which vertex - transitive digraphs are studied in detail 本篇论文主要研究有向图中的有向圈,讨论有向图中的围长g ( d ) (最短有向圈的长度)与图的顶点度以及结合数之间的关系,并重点分析了点可迁图类。