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pro vyhledávání: '"Vichitkunakorn, Panupong"'
The $\delta$-complement $G_\delta$ of a graph $G$, introduced in 2022 by Pai et al., is a variant of the graph complement, where two vertices are adjacent in $G_\delta$ if and only if they are of the same degree but not adjacent in $G$ or they are of
Externí odkaz:
http://arxiv.org/abs/2402.02507
In this work, we study the $\delta$-chromatic number of a graph which is the chromatic number of the $\delta$-complement of a graph. We give a structure of the $\delta$-complements and sharp bounds on the $\delta$-chromatic numbers of the Cartesian p
Externí odkaz:
http://arxiv.org/abs/2401.00666
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 1203-525 (2024)
In this work, we study the δ\delta -chromatic number of a graph, which is the chromatic number of the δ\delta -complement of a graph. We give a structure of the δ\delta -complements and sharp bounds on the δ\delta -chromatic numbers of the Cartes
Externí odkaz:
https://doaj.org/article/fcddf0d862cb411892e26d47ea2ee6a6
We determine the exact value of the $2$-color Ramsey number of a connected $4$-clique matching $\mathscr{C}(nK_4)$ which is a set of connected graphs containing $n$ disjoint $K_4$. That is, we show that $R_2(\mathscr{C}(nK_4)) = 13n-3$ for any positi
Externí odkaz:
http://arxiv.org/abs/2306.08412
Publikováno v:
In European Journal of Operational Research 1 August 2024 316(3):1129-1145
Publikováno v:
In Heliyon June 2023 9(6)
Autor:
Vichitkunakorn, Panupong
We study a discrete dynamic on weighted bipartite graphs on a torus, analogous to dimer integrable systems in Goncharov-Kenyon 2013. The dynamic on the graph is an urban renewal together with shrinking all 2-valent vertices, while it is a cluster tra
Externí odkaz:
http://arxiv.org/abs/1704.08736
Publikováno v:
In International Journal of Production Economics April 2021 234
Autor:
Vichitkunakorn, Panupong
The $A_\infty$ T-system, also called the octahedron recurrence, is a dynamical recurrence relation. It can be realized as mutation in a coefficient-free cluster algebra (Kedem 2008, Di Francesco and Kedem 2009). We define T-systems with principal coe
Externí odkaz:
http://arxiv.org/abs/1511.05535
Autor:
Kedem, Rinat, Vichitkunakorn, Panupong
These notes summarize two different connections between two discrete integrable systems, the $A_d$ $T$-system and its infinite-rank analog, the octahedron relation, and the pentagram map and its various generalizations.
Comment: 21 pages, contri
Comment: 21 pages, contri
Externí odkaz:
http://arxiv.org/abs/1405.6758