Almost partitioning 2-colored complete 3-uniform hypergraphs into two monochromatic tight or loose cycles

Author:

Bustamante Sebastián1,Hàn Hiêp2,Stein Maya3ORCID

Affiliation:

1. Departmento de Ingeniería Matemática; Universidad de Chile; Santiago Chile

2. Departamento de Matemática y Ciencia de la Computación; Universidad de Santiago de Chile; Santiago Chile

3. Departmento de Ingeniería Matemática y Centro de Modelamiento Matemático (UMI 2807 CNRS); Universidad de Chile; Santiago Chile

Funder

Comisión Nacional de Investigación Científica y Tecnológica

Millenium Nucleus Information and Coordination in Networks

Fondo Nacional de Desarrollo Científico y Tecnológico

FONDECYT Regular

CONICYT + PIA/Apoyo a centros científicos y tecnológicos de excelencia con financiamiento Basal, Código

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. Sur la existence de deux cycles supplémentaires unicolores, disjoints et de couleurs différentes dans un graphe complet bicolore

3. Partitioning a graph into a cycle and an anticycle, a proof of Lehel’s conjecture;Bessy;J. Comb. Theory B,2010

4. Extremal problems on set systems;Frankl;Random Struct. Algor.,2002

5. Monochromatic structures in edge-coloured graphs and hypergraphs-A survey;Fujita;Int. J. Graph Theory Appl.,2015

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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 Paths in 2-Edge-Coloured Graphs and Hypergraphs;The Electronic Journal of Combinatorics;2023-03-24

3. Towards Lehel's Conjecture for 4-Uniform Tight Cycles;The Electronic Journal of Combinatorics;2023-01-13

4. Almost partitioning every 2-edge-coloured complete k-graph into k monochromatic tight cycles;Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications;2023

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

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