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Finite Euclidean Ramsey Theory
The author studies some problems of Euclidean Ramsey theory. He shows that in any two-coloring of the points of \(\mathbb{R}^4\) there will be four points forming a monochromatic unit square. He also improves the lower bounds for the chromatic numbers of the unit distance graphs of \(\mathbb{R}^4\) and \(\mathbb{R}^5\) to 7 and 9, respectively.
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Cost Pass‐Through in Crisis: Evidence From the German Malt‐Beer Supply Chain
Abstract Global agri‐food supply chains are increasingly exposed to geopolitical shocks, climate volatility, and market consolidation, factors that disrupt traditional price relationships and reshape market power dynamics. Nowhere is this more visible than in the brewing sector, where agricultural raw materials meet complex industrial processing and ...
Nikolas Bublik, Lukáš Čechura
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Almost-Rainbow Edge-Colorings of Some Small Subgraphs
Let f(n, p, q) be the minimum number of colors necessary to color the edges of Kn so that every Kp is at least q-colored. We improve current bounds on these nearly “anti-Ramsey” numbers, first studied by Erdös and Gyárfás.
Krop Elliot, Krop Irina
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Graphs, friends and acquaintances
A graph is a mathematical object modeling the existence of a certain relation between pairs of elements of a given set. Many of the first results concerning graphs made reference to relationships between groups of people.
Cristina Dalfo, Miquel Àngel Fiol
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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
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Weakened Gallai-Ramsey numbers [PDF]
In the Ramsey theory of graphs, one seeks to determine the value of the Ramsey number rt(n), defined to be the least natural number p such that every coloring of the edges of Kp using t colors results in a monochromatic copy of Kn in some color.
Gabrielle Beam, Mark Budden
doaj
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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Ramsey theory is a field of mathematics dating back to approximately 100 years. It intersects with various branches of mathematics, such as combinatorics, number theory, geometry, topology and set theory [16]. Loosely speaking, Ramsey theory can be described as the study of structure which is preserved under partitions – an idea succinctly captured by ...
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Rainbow Generalizations of Ramsey Theory - A Dynamic Survey
In this work, we collect Ramsey-type results concerning rainbow edge colorings of graphs.
Shinya Fujita +3 more
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ABSTRACT Tool use research has long made the distinction between tool using that is considered learned and flexible, and that which appears to be instinctive and stereotyped. However, animals with an inherited tool use specialisation can exhibit flexibility, while tool use that is spontaneously innovated can be limited in its expression and facilitated
Jennifer A. D. Colbourne +1 more
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