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6连通图中的可收缩边 总被引:4,自引:0,他引:4
Kriesell(2001年)猜想:如果κ连通图中任意两个相邻顶点的度的和至少是2[5κ/4]-1则图中有κ-可收缩边.本文证明每一个收缩临界6连通图中有两个相邻的度为6的顶点,由此推出该猜想对κ=6成立。 相似文献
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文[1]提出了四个不等式猜想,其中的猜想1和猜想2已分别在文[2]和[3]中解决.在本文中,笔者将给出猜想3和猜想4的证明. 相似文献
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Bill Jackson在[1]中作为猜想,提出了一个2-连通“几乎正则”(almost regular)图存在Hamilton圈的充分条件:“如果G是一个次序列为(k,k,…,k,k+1,k+1)的2-连通图,其顶点数不大于3k+2时,G是Hamilton图.本文举例说明 相似文献
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令f(n)为恰有n个顶点,任意两个循环长度都不相等的图的最多边数.1975年,Erdos提出确定f(n)的问题(见[1]P274,Problem11).1986年.Y.Shi证明了对任意自然数.≥3,有f(n)≥n [(√8n-23 1/1)/2],且当3≤n≤17时.等号成立.进而猜想:对于任何自然数n≥3,上述等式都成立.本文对该猜想给出一个反例。 相似文献
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受文[1]和文[2]启发,本文将给出与不等式①类似的一个不等式.文末提出三个与②,③,④三式类似的不等式猜想. 相似文献
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文[1]末提出了四个不等式猜想,文[2],文[3]均给出了猜想1的详细证明,文[2]还对猜想1作了更深入的讨论.事实上,只要取a=-1,b=-2,c=32,便可知:abc>1,因而猜想2并非十分准确,同样猜想3,4亦有漏洞,本文对猜想4作一细小的修正,并给予证明.作为特例的猜想2,3也就一并解决了.猜想4若ni 相似文献
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《高校应用数学学报(英文版)》2021,36(1)
In this paper we prove a global attractivity result for the unique positive equilibrium point of a difference equation, which improves and generalizes some known ones in the existing literature. Especially, our results completely solve an open problem and some conjectures proposed in [1, 2, 3, 4]. 相似文献
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Edoardo Ballico Claudio Fontanari Luca Tasin 《Rendiconti del Circolo Matematico di Palermo》2010,59(1):121-125
We investigate Koszul cohomology on irreducible nodal curves following the lines of [2]. In particular, we prove both Green
and Green-Lazarsfeld conjectures for any k-gonal nodal curve which is general in the sense of [4]. 相似文献
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Ronald E. Mickens 《Journal of Difference Equations and Applications》2013,19(2):247-248
In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas. 相似文献
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William J. Briden Gerry Ladas Tim Nesemann 《Journal of Difference Equations and Applications》2013,19(4-5):491-494
In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relavant information to G.Ladas 相似文献
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Ladas Gerry E. Gamouzis R. DeVault G. Ladas 《Journal of Difference Equations and Applications》2013,19(3):477-482
In this section we present some open problems and conjectures about some interesting types of difference equations, Please submit your problems and conjectures with all relevant information to G. Ladas. 相似文献
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R. Devault L. Galminas E.J. Janowski G. Ladas 《Journal of Difference Equations and Applications》2013,19(1):121-125
In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas. 相似文献
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R. DeVault G. Ladas S.W. Schultz 《Journal of Difference Equations and Applications》2013,19(4):481-483
In this section we present some pen problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas. 相似文献
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In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas. 相似文献
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In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas. 相似文献
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Motivated by the conjectures in [11], we introduce the maximal chains of a cycle permutation graph, and we use the properties of maximal chains to establish the upper bounds for the toughness of cycle permutation graphs. Our results confirm two conjectures in [11]. 相似文献