Results 31 to 40 of about 9,500 (263)
Gallai-Ramsey number of an 8-cycle
AKCE International Journal of Graphs and Combinatorics, 2020 Given graphs G and H and a positive integer k, the Gallai-Ramsey number is the minimum integer N such that for any integer every k-edge-coloring of Kn contains either a rainbow copy of G or a monochromatic copy of H.
Jonathan Gregory +2 more
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RAMSEY NUMBERS FOR TREES [PDF]
Bulletin of the Australian Mathematical Society, 2012 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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Discrete Mathematics, 2002 Let \(TT_n\) denote the transitive tournament on \(n\) vertices and let \(D_1,D_2,\dots, D_k\) be acyclic digraphs. The ordered Ramsey number \(\rho(D_1,D_2,\dots, D_k)\) is the smallest integer \(n\) so that any \(k\)-coloring of the edges of \(TT_n\) admits, for some index \(i\), a copy of \(D_i\) with all of its edges colored with the \(i\)th color.
Sheshayya A. Choudum, B. Ponnusamy
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The Lupus Damage Index Revision Program: Results From the Item Generation and Reduction Phases
Arthritis Care &Research, EarlyView.Objective A data‐driven and expert/patient consensus‐based project to develop a revised Systemic Lupus International Collaborating Clinics (SLICC)/American College of Rheumatology (ACR) Damage Index (SDI) is under way supported by SLICC, ACR, and the Lupus Foundation of America. Our objective is to report the item generation and reduction phase results
Burak Kundakci +25 more
wiley +1 more source
Avoidance colourings for small nonclassical Ramsey numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Graphs and ...
Alewyn Petrus Burger, Jan H. Vuuren
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Advanced Science, EarlyView.An STI‐guided metagenomic association framework links soybean salt‐tolerance phenotypes with rhizosphere microbiome composition and network organization in natural saline soils. The approach identifies candidate beneficial taxa, including Thalassospira xiamenensis, and provides an efficient strategy for mining stress‐protective microbes from native ...
Yu Luo +3 more
wiley +1 more source
European Journal of Combinatorics, 1997 For positive integers \(s\) and \(t\), the matroid Ramsey number \(n(s,t)\) is the least positive integer \(n\) such that every connected matroid with at least \(n\) elements has either a circuit with at least \(s\) elements or a cocircuit with at least \(t\) elements.
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Discrete Mathematics, 2002 The induced Ramsey number \(\text{IR}(G,H)\) is the smallest integer \(n\) for which there exists a graph \(F\) on \(n\) vertices such that any 2-colouring of its edges in red and blue produces either or both of a copy of a graph \(G\) induced in \(F\) with all of its edges red, or a copy of a graph \(H\) induced in \(F\) with all of its edges blue.
Izolda Gorgol, Tomasz Luczak 0001
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Cost Pass‐Through in Crisis: Evidence From the German Malt‐Beer Supply Chain
Agribusiness, EarlyView.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
wiley +1 more source
Singular Ramsey and Turán numbers
Theory and Applications of Graphs, 2019 We say that a subgraph F of a graph G is singular if the degrees d_G(v) are all equal or all distinct for the vertices v of F. The singular Ramsey number Rs(F) is the smallest positive integer n such that, for every m at least n, in every edge 2-coloring
Yair Caro, Zsolt Tuza
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