Wheel and Star-critical Ramsey Numbers for Quadrilateral

Authors

Yali Wu, Beijing Jiaotong University
Yongqi Sun, Beijing Jiaotong University
Stanislaw Radziszowski, Rochester Institute of TechnologyFollow

Abstract

The star-critical Ramsey number r∗(H1, H2) is the smallest integer k such that every red/blue coloring of the edges of Kn − K1,n−k−1 contains either a red copy of H1 or a blue copy of H2, where n is the graph Ramsey number R(H1, H2). We study the cases of r∗(C4, Cn) and R(C4, Wn). In particular, we prove that r∗(C4, Cn) = 5 for all n > 4, obtain a general characterization of Ramsey-critical (C4, Wn)-graphs, and establish the exact values of R(C4, Wn) for 9 cases of n between 18 and 44.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Date

5-11-2015

Comments

Original article published in Discrete Applied Mathematics: doi:10.1016/j.dam.2015.01.003

Document Type

Article

Department, Program, or Center

Computer Science (GCCIS)

Recommended Citation

Y. Wu, Y. Sun, S. Radziszowski, Wheel and Star-critical Ramsey Numbers for Quadrilateral, Discrete Applied Mathematics, doi:10.1016/j.dam.2015.01.003, 186 (2015) 260-271.

Campus

RIT – Main Campus