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Anti-Ramsey Number of Hanoi Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Let ar(G,H) be the largest number of colors such that there exists an edge coloring of G with ar(G,H) colors such that each subgraph isomorphic to H has at least two edges in the same color. We call ar(G,H) the anti- Ramsey number for a pair of graphs (G,
Gorgol Izolda, Lechowska Anna
doaj   +5 more sources

Anti-Ramsey Hypergraph Numbers [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2021
The anti-Ramsey number arn(H) of an r-uniform hypergraph is the maximum number of colors that can be used to color the hyperedges of a complete r-uniform hypergraph on n vertices without producing a rainbow copy of H.
Mark Budden, William Stiles
doaj   +2 more sources

Anti-Ramsey numbers for disjoint copies of graphs [PDF]

open access: yesOpuscula Mathematica, 2017
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
doaj   +2 more sources

Anti-Ramsey theory on complete bipartite graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
We consider quadruples of positive integers with and such that every proper edge-coloring of the complete bipartite graph contains a rainbow subgraph. We show that every such quadruple with and satisfies this property and find an infinite sequence where ...
Stephan Cho   +3 more
doaj   +2 more sources

On Mf-Edge Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
An edge coloring φ of a graph G is called an Mf-edge coloring if | φ(v)| ≤ f(v) for every vertex v of G, where φ(v) is the set of colors of edges incident with v and f is a function which assigns a positive integer f(v) to each vertex v.
Ivančo Jaroslav, Onderko Alfréd
doaj   +1 more source

Rainbow Generalizations of Ramsey Theory - A Dynamic Survey

open access: yesTheory and Applications of Graphs, 2014
In this work, we collect Ramsey-type results concerning rainbow edge colorings of graphs.
Shinya Fujita   +3 more
doaj   +1 more source

Diagonal Forms, Linear Algebraic Methods and Ramsey-Type Problems [PDF]

open access: yes, 2013
This thesis focuses mainly on linear algebraic aspects of combinatorics. Let N_t(H) be an incidence matrix with edges versus all subhypergraphs of a complete hypergraph that are isomorphic to H. Richard M.
Wong, Wing Hong Tony
core   +1 more source

Avoiding rainbow 2-connected subgraphs

open access: yesOpen Mathematics, 2017
While defining the anti-Ramsey number Erdős, Simonovits and Sós mentioned that the extremal colorings may not be unique. In the paper we discuss the uniqueness of the colorings, generalize the idea of their construction and show how to use it to ...
Gorgol Izolda
doaj   +1 more source

Comparison of the postoperative analgesic effects of naproxen sodium and naproxen sodium-codeine phosphate for arthroscopic meniscus surgery

open access: yesBrazilian Journal of Anesthesiology, 2016
Background and objectives: Nonsteroidal anti-inflammatory drugs (NSAIDs) are frequently used to control arthroscopic pain. Addition of oral effective opioid “codeine” to NSAIDs may be more effective and decrease parenteral opioid consumption in the ...
Cagla Bali   +6 more
doaj   +3 more sources

A SENTENÇA-RAMSEY, CARNAP E O REALISMO ESTRUTURAL

open access: yesPolymatheia, 2021
O presente artigo tem duas pretensões básicas: (1) analisar a sentença-Ramsey, sobretudo a interpretação feita por Rudolf Carnap, mostrando qual o papel que ela desempenha no debate acerca do realismo e do anti-realismo científico; e (2) mostrar como ...
Marco Antônio Sousa Alves
doaj  

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