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Bipartite rainbow Ramsey numbers
This article introduces, proves the existence of, and computes some values of a new Ramsey number. Given a graph \(G\), with a subgraph \(H\), call an edge-coloring of \(G\) {rainbow} on \(H\) if the coloring assigns every edge of \(H\) its own color.
Eroh, Linda, Oellermann, Ortrud R.
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Woody breast compromises meat quality leading to reduced consumer appeal. Although its causes are unclear, improvements observed with certain dietary supplements suggest that gut health may influence woody breast development. Ribonucleotide reductase subunit RRM2 is vital for mitochondrial function and gastrointestinal integrity, and alteration in its ...
Majid Shakeri +8 more
wiley +1 more source
RAMSEY NUMBERS FOR TREES [PDF]
AbstractForn≥5, letT′ndenote the unique tree onnvertices with Δ(T′n)=n−2, and letT*n=(V,E) be the tree onnvertices withV={v0,v1,…,vn−1} andE={v0v1,…,v0vn−3,vn−3vn−2,vn−2vn−1}. In this paper, we evaluate the Ramsey numbersr(Gm,T′n) andr(Gm,T*n) , whereGmis a connected graph of orderm.
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Objective Methotrexate (MTX) is the first‐line therapy for juvenile idiopathic arthritis (JIA), but up to 40% of patients do not respond to it. Low inosine triphosphate pyrophosphatase (ITPA) activity has been associated with reduced clinical remission. We investigated the role and underlying mechanisms of ITPA in vitro. Methods ITPA enzymatic activity
Sofia Sindici Forgiarini +19 more
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New directions in Ramsey theory [PDF]
Gary Chartrand, Ping Zhang
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Anti-Ramsey numbers for disjoint copies of graphs [PDF]
A subgraph of an edge-colored graph is called rainbow if all of its edges have different colors. For a graph \(G\) and a positive integer \(n\), the anti-Ramsey number \(ar(n,G)\) is the maximum number of colors in an edge-coloring of \(K_n\) with no ...
Izolda Gorgol, Agnieszka Görlich
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21 pages ...
Nikiforov, Vladimir, Rousseau, Cecil
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ABSTRACT International changes in the focus of medical school education have led to a decrease in the time allocated to anatomy education, with human specimen dissection particularly affected. This study evaluates whether a dissection‐based course facilitates the retention of three‐dimensional (3‐D) anatomical relationships in senior medical students ...
Thomas Stubley +4 more
wiley +1 more source
Star-Critical Weakened Ramsey Numbers
The weakened Ramsey number $r^{s,t}(G)$ is defined to be the least $p\in \mathbb{N}$ such that every $t$-coloring of the edges of the complete graph $K_p$ contains a subgraph isomorphic to $G$ that is spanned by edges that use at most $s$ colors ($1\le s\
Mark Budden, Monu Moun, Jagjeet Jakhar
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