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author:

林启忠 (林启忠.) [1] | 杜智华 (杜智华.) [2]

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Abstract:

设多色二部Ramsey数brk(C6;Kn,n)是最小的正整数N使得对二部完全图KN,N的边进行k+1着色时,总存在前k色中某种单色的C6或者第k+1色的Kn,n.本文主要利用随机方法得到brk(C6;Kn,n)=Θlong33//22 n对k≥3都成立,并且得到br2(C6;Kn,n)≥c(nlolgoglo3g nn)3/2对充分大的n成立.

Keyword:

二部Ramsey数 渐进阶

Community:

  • [ 1 ] 福州大学数学与计算机科学学院,福建福州350108
  • [ 2 ] 新疆师范大学数学科学学院,新疆乌鲁木齐830054

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Source :

新疆大学学报:自然科学版

ISSN: 1000-2839

Year: 2011

Issue: 4

Volume: 28

Page: 401-404

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count: -1

30 Days PV: 0

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