Ramsey Number of A Union of Stars Versus A Book

The Ramsey number [Formula: see text] is the minimum integer [Formula: see text] such that any red-blue-coloring of [Formula: see text] contains either a red copy of [Formula: see text] or a blue copy of [Formula: see text]. In 2017, Zhang et al. showed that if [Formula: see text] and [Formula: see text], then [Formula: see text]. In this paper, we investigate the upper bound of the Ramsey number for a book and a star. Additionally, we extend the parameter range and present some exact values along with bounds for the Ramsey number [Formula: see text].

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Publication Details

Journal
Discrete Mathematics Algorithms and Applications
Published
2026-10-07
DOI
https://doi.org/10.1142/s1793830926501041
Primary Topic
Limits and Structures in Graph Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Ramsey Number of A Union of Stars Versus A Book

Qiang Sun, Yufan Yuan, Manman Yin, Jiahui Cao
Discrete Mathematics Algorithms and Applications
Limits and Structures in Graph Theory
article

Ramsey Number of A Union of Stars Versus A Book

Qiang Sun, Yufan Yuan, Manman Yin, Jiahui Cao
article en

Abstract

The Ramsey number [Formula: see text] is the minimum integer [Formula: see text] such that any red-blue-coloring of [Formula: see text] contains either a red copy of [Formula: see text] or a blue copy of [Formula: see text]. In 2017, Zhang et al. showed that if [Formula: see text] and [Formula: see text], then [Formula: see text]. In this paper, we investigate the upper bound of the Ramsey number for a book and a star. Additionally, we extend the parameter range and present some exact values along with bounds for the Ramsey number [Formula: see text].

Discrete Mathematics Algorithms and Applications
Openalex Percentile: Top 4%
Limits and Structures in Graph Theory
DOISourceOpenAlex
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Ramsey Number of A Union of Stars Versus A Book — Qiang Sun, Yufan Yuan, et al. · Discrete Mathematics Algorithms and Applications (2026) | TGRS Research Map | TGRS