Add to ORKGBalogh, Barát, Gerbner, Gyárfás, and Sárközy made the following conjecture. Let G be a graph on n vertices with minimum degree at least 3 n / 4 . Then for every 2 -edge-colouring of G , the vertex set V ( G ) may be partitioned into two vertex-disjoint cycles, one of each colour. We prove this conjecture for large n , improving approximate results by the aforementioned authors and by DeBiasio and Nelsen
Improving our earlier result we show that for every integer k≥1 there exists a c(k) such that in eve...
Graph partitioning, or the dividing of a graph into two or more parts based on certain conditions, a...
AbstractLet G=(V,E) be an edge-colored graph. A subgraph H is said to be monochromatic if all the ed...
Li, Nikiforov and Schelp [13] conjectured that any 2-edge coloured graph G with order n and minimum ...
A conjecture of Erdős, Gyárfás, and Pyber says that in any edge-colouring of a complete graph with r...
A graph G arrows a graph H if in every 2-edge-colouring of G there exists a monochromatic copy of H....
We show that any complete k-partite graph G on n vertices, with k >= 3, whose edges are two-coloured...
AbstractImproving a result of Erdős, Gyárfás and Pyber for large n we show that for every integer r⩾...
Abstract Let F = {F1,F2,...} be a sequence of graphs such that Fn is a graph on n vertices with maxi...
AbstractAnyr-edge-colouredn-vertex complete graphKncontains at mostrmonochromatic trees, all of diff...
An edge coloring of a graph is said to be an r‐local coloring if the edges incident to any vertex ar...
We answer a question of Gy\'arf\'as and S\'ark\"ozy from 2013 by showing that every 2-edge-coloured ...
A conjecture of Erdös, Gyárfás, and Pyber says that in any edge-colouring of a complete graph with r...
In 1989, Gyárfás conjectured that, for every natural r, r monochromatic paths are suficient to verte...
Doctor en Ciencias de la Ingeniería, Mención Modelación MatemáticaThe first part of this thesis conc...
Improving our earlier result we show that for every integer k≥1 there exists a c(k) such that in eve...
Graph partitioning, or the dividing of a graph into two or more parts based on certain conditions, a...
AbstractLet G=(V,E) be an edge-colored graph. A subgraph H is said to be monochromatic if all the ed...
Li, Nikiforov and Schelp [13] conjectured that any 2-edge coloured graph G with order n and minimum ...
A conjecture of Erdős, Gyárfás, and Pyber says that in any edge-colouring of a complete graph with r...
A graph G arrows a graph H if in every 2-edge-colouring of G there exists a monochromatic copy of H....
We show that any complete k-partite graph G on n vertices, with k >= 3, whose edges are two-coloured...
AbstractImproving a result of Erdős, Gyárfás and Pyber for large n we show that for every integer r⩾...
Abstract Let F = {F1,F2,...} be a sequence of graphs such that Fn is a graph on n vertices with maxi...
AbstractAnyr-edge-colouredn-vertex complete graphKncontains at mostrmonochromatic trees, all of diff...
An edge coloring of a graph is said to be an r‐local coloring if the edges incident to any vertex ar...
We answer a question of Gy\'arf\'as and S\'ark\"ozy from 2013 by showing that every 2-edge-coloured ...
A conjecture of Erdös, Gyárfás, and Pyber says that in any edge-colouring of a complete graph with r...
In 1989, Gyárfás conjectured that, for every natural r, r monochromatic paths are suficient to verte...
Doctor en Ciencias de la Ingeniería, Mención Modelación MatemáticaThe first part of this thesis conc...
Improving our earlier result we show that for every integer k≥1 there exists a c(k) such that in eve...
Graph partitioning, or the dividing of a graph into two or more parts based on certain conditions, a...
AbstractLet G=(V,E) be an edge-colored graph. A subgraph H is said to be monochromatic if all the ed...