Degree conditions for the existence of vertex-disjoint cycles and paths: a survey

DOI10.1007/s00373-017-1873-5zbMath1382.05017OpenAlexW2789747582MaRDI QIDQ1706420

Tomoki Yamashita, Shuya Chiba

Publication date: 22 March 2018

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-017-1873-5

zbMATH Keywords

pathspartitioningcyclespackingdegree conditions

Mathematics Subject Classification ID

Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Vertex degrees (05C07)

Related Items (16)

Unnamed Item ⋮ The confirmation of a conjecture on disjoint cycles in a graph ⋮ On degree sum conditions for 2-factors with a prescribed number of cycles ⋮ Disjoint Cycles with Length Constraints in Digraphs of Large Connectivity or Large Minimum Degree ⋮ Disjoint cycles covering specified vertices in bipartite graphs with partial degrees ⋮ Degree sum condition on distance 2 vertices for Hamiltonian cycles in balanced bipartite graphs ⋮ Properly colored cycles of different lengths in edge-colored complete graphs ⋮ Lichiardopol's conjecture on disjoint cycles in tournaments ⋮ Perfect matching in bipartite hypergraphs subject to a demand graph ⋮ Edge-disjoint properly colored cycles in edge-colored complete graphs ⋮ Partitioning the vertices of a digraph into directed cycles and degenerated directed cycles ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On degree sum conditions for directed path-factors with a specified number of paths ⋮ An improvement of Lichiardopol's theorem on disjoint cycles in tournaments ⋮ Disjoint cycles and \(2\)-factors with Fan-type condition in a graph

Uses Software

• cyclechord

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