The multicolor star-critical Gallai-Ramsey number for a path of order 6

Denote by gr*t(P₆) the t-color star-critical Gallai-Ramsey number for a path of order 6. In this paper, it is shown thatgr*t(P₆) = 2t − 1 for all t ≥ 1. In the process of proving this result, we classify the critical colorings for the Gallai-Ramsey number grt(P₆).

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Publication Details

Journal
The Art of Discrete and Applied Mathematics
Published
2025-03-06
DOI
https://doi.org/10.26493/2590-9770.1841.f86
Primary Topic
Limits and Structures in Graph Theory
Type
article
Field-Weighted Citation Impact
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article

The multicolor star-critical Gallai-Ramsey number for a path of order 6

Mark Budden, Jagjeet Jakhar, Monu Moun
The Art of Discrete and Applied Mathematics
Limits and Structures in Graph Theory
article

The multicolor star-critical Gallai-Ramsey number for a path of order 6

Mark Budden, Jagjeet Jakhar, Monu Moun
article en

Abstract

Denote by gr*t(P₆) the t-color star-critical Gallai-Ramsey number for a path of order 6. In this paper, it is shown thatgr*t(P₆) = 2t − 1 for all t ≥ 1. In the process of proving this result, we classify the critical colorings for the Gallai-Ramsey number grt(P₆).

The Art of Discrete and Applied Mathematics
Western Carolina University (US), Central University of Haryana (IN)
Openalex Percentile: Top 93%
Limits and Structures in Graph Theory
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