Open problems of the 32nd Workshop on Cycles and Colourings
J\'anos Bar\'at, Stijn Cambie, Ge\v{n}a Hahn, Davide Mattiolo,, Alfr\'ed Onderko, Ingo Schiermeyer, Zsolt Tuza
TL;DR
This paper compiles open problems discussed at the 32nd Cycles and Colourings workshop, providing current insights and references related to cycle and coloring problems in graph theory.
Contribution
It presents a curated list of unresolved problems from the workshop, highlighting current research challenges in cycles and colorings.
Findings
Compilation of open problems and current research notes
Provides references and context for each problem
Summarizes the state of the art in cycle and coloring research
Abstract
Since its beginnings, every Cycles and Colourings workshop holds one or two open problem sessions; this document contains the problems (together with notes regarding the current state of the art and related bibliography) presented by participants of the 32nd edition of the workshop which took place in Poprad, Slovakia during September 8-13, 2024 (see the workshop webpage https://candc.upjs.sk).
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Taxonomy
TopicsMathematics and Applications