Monochromatic Cycle Partitions in Local Edge Colorings

Author:

Conlon David1,Stein Maya2

Affiliation:

1. MATHEMATICAL INSTITUTE, UNIVERSITY OF OXFORD, ANDREW WILES BUILDING; RADCLIFFE OBSERVATORY QUARTER; WOODSTOCK ROAD OXFORD OX2 6GG UNITED KINGDOM

2. CENTRO DE MODELAMIENTO MATEMÁTICO; UNIVERSIDAD DE CHILE; BEAUCHEF 851, PISO 7 SANTIAGO CENTRO RM CHILE

Funder

Royal Society

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference17 articles.

1. Covering two-edge-coloured complete graphs with two disjoint monochromatic cycles;Allen;Combin Probab Comput,2008

2. J. Ayel Sur l'existence de deux cycles supplémentaires unicolores, disjoints et de couleurs différentes dans un graph complet bicolore 1979

3. Partitioning a graph into a cycle and an anticycle: A proof of Lehel's conjecture;Bessy;J Combin Theory Ser,2010

4. Local and mean Ramsey numbers for trees;Bollobás;J Combin Theory Ser B,2000

5. On several variations of the Turán and Ramsey numbers;Caro;J Graph Theory,1992

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Ore- and Pósa-Type Conditions for Partitioning 2-Edge-Coloured Graphs into Monochromatic Cycles;The Electronic Journal of Combinatorics;2023-05-05

2. Monochromatic square-cycle and square-path partitions;Discrete Mathematics;2022-03

3. Minimum degree conditions for monochromatic cycle partitioning;Journal of Combinatorial Theory, Series B;2021-01

4. Monochromatic Partitions In Local Edge Colorings;Acta Mathematica Hungarica;2020-06-30

5. Embedding Graphs into Larger Graphs: Results, Methods, and Problems;Bolyai Society Mathematical Studies;2019

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