A Unified Proof of Conjectures on Cycle Lengths in Graphs

In this paper, we prove a tight minimum degree condition in general graphs for the existence of paths between two given endpoints whose lengths form a long arithmetic progression with common difference one or two. This allows us to obtain a number of exact and optimal results on cycle lengths in gra...

Full description

Bibliographic Details
Main Authors: Gao, J. (Author), Huo, Q. (Author), Liu, C.-H (Author), Ma, J. (Author)
Format: Article
Language:English
Published: Oxford University Press 2022
Online Access:View Fulltext in Publisher