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Article Title
Abstract
Grossman conjectured that $R(G, G) = 2 \cdot |V(G)| - 1$, for all simple connected unicyclic graphs $G$ of odd girth and $|V(G)| \geq 4$. In this note, we prove his conjecture for various classes of $G$ containing a triangle. In addition, new diagonal graph Ramsey numbers are calculated for some classes of simple connected unicyclic graphs of even girth.
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This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Low, Richard M. and Kapbasov, Ardak
(2023)
"New Diagonal Graph Ramsey Numbers of Unicyclic Graphs,"
Theory and Applications of Graphs: Vol. 10:
Iss.
1, Article 9.
DOI: 10.20429/tag.2023.10109
Available at:
https://digitalcommons.georgiasouthern.edu/tag/vol10/iss1/9
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