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author:

Liu, M. (Liu, M..) [1] | Li, Y. (Li, Y..) [2] | Lin, Q. (Lin, Q..) [3]

Indexed by:

Scopus

Abstract:

Let C2m+1={C3,C5,⋯,C2m+1} be the family of odd cycles of length at most 2m+1. The Class Ramsey number Rk(C2m+1) is defined as the smallest integer N such that any k-edge-coloring of KN contains at least a monochromatic odd cycle in C2m+1. In this note, we study the behaviour of Rk(C2m+1) for large k. © 2019 Elsevier Inc.

Keyword:

Class Ramsey number; Odd cycle; Ramsey number

Community:

  • [ 1 ] [Liu, M.]School of Mathematical Sciences, Anhui University, Hefei, Anhui, 230601, China
  • [ 2 ] [Li, Y.]School of Mathematical Sciences, Tongji University, Shanghai, 200092, China
  • [ 3 ] [Lin, Q.]Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian 350108, China

Reprint 's Address:

  • [Liu, M.]School of Mathematical Sciences, Anhui UniversityChina

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Source :

Applied Mathematics and Computation

ISSN: 0096-3003

Year: 2019

Volume: 363

3 . 4 7 2

JCR@2019

3 . 5 0 0

JCR@2023

ESI HC Threshold:59

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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