A Grover Search-Based Algorithm for the List Coloring Problem

Journal Article (Journal Article)

Graph coloring is a computationally difficult problem, and currently the best known classical algorithm for k-coloring of graphs on n vertices has runtimes Ω (2n) for ≥ 5. The list coloring problem asks the following more general question: given a list of available colors for each vertex in a graph, does it admit a proper coloring? We propose a hybrid classical-quantum algorithm based on Grover search 12 to quadratically speed up exhaustive search. Our algorithm loses in complexity to classical ones in specific restricted cases, but improves exhaustive search for cases, where the lists and graphs considered are arbitrary in nature.

Full Text

Duke Authors

Cited Authors

  • Mukherjee, S

Published Date

  • January 1, 2022

Published In

Volume / Issue

  • 3 /

Electronic International Standard Serial Number (EISSN)

  • 2689-1808

Digital Object Identifier (DOI)

  • 10.1109/TQE.2022.3151137

Citation Source

  • Scopus