Equitable Coloring in 1-Planar Graphs
Daniel Cranston, Reem Mahmoud

TL;DR
This paper proves that all 1-planar graphs with maximum degree at most r (for r ≥ 13) can be colored equitably with r colors, ensuring balanced color classes.
Contribution
It establishes a new equitable coloring result specifically for 1-planar graphs with high maximum degree, extending previous graph coloring theories.
Findings
Valid for all r ≥ 13
Applies to 1-planar graphs with degree constraints
Ensures equitable r-colorings
Abstract
For every , we show every 1-planar graph with has an equitable -coloring.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsComputational Geometry and Mesh Generation · Advanced Graph Theory Research
