More on online weighted edge coloring

Research output: Contribution to journalArticlepeer-review


We revisit online weighted edge coloring. In this problem, weighted edges of a graph are presented one by one, to be colored with positive integers. It is required that for every vertex, all its edges of every common color will have a total weight not exceeding 1. We provide an improved upper bound on the performance of a greedy algorithm First Fit for the case of arbitrary weights, and for the case of weights not exceeding [Formula presented]. Here, the meaning of First Fit is that every edge is colored with a color of the smallest index that will keep the coloring valid. This improves the state-of-the-art with respect to online algorithms for this variant of edge coloring. We also show new lower bounds on the performance of any online algorithm with weights in [Formula presented], for any integer t≥2.

Original languageEnglish
Article number100803
JournalDiscrete Optimization
StatePublished - Nov 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.


  • Edge coloring
  • Online algorithms

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Applied Mathematics


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