English

The Interactive Sum Choice Number of Trees

Combinatorics 2017-10-04 v2

Abstract

We study the interactive sum choice number, a game coloring parameter introduced by Bonamy and Meeks, and obtain a recursive formula for the interactive sum choice number of forests. This formula coincides with a formula for the slow coloring cost of forests, a parameter introduced by Mahoney, Puleo, and West, and shows that these parameters are equal on forests. This answers a question of Bonamy and Meeks.

Cite

@article{arxiv.1705.03442,
  title  = {The Interactive Sum Choice Number of Trees},
  author = {Gregory J. Puleo},
  journal= {arXiv preprint arXiv:1705.03442},
  year   = {2017}
}

Comments

This paper has been merged into the joint paper arXiv:1612.04702, and this preprint is therefore now obsolete

R2 v1 2026-06-22T19:41:59.658Z