We consider a variation on Maker-Breaker games on graphs or digraphs where the edges have random costs. We assume that Maker wishes to choose the edges of a spanning tree, but wishes to minimise his cost. Meanwhile Breaker wants to make Maker's cost as large as possible.
@article{10_37236_12569,
author = {Patrick Bennett and Alan Frieze},
title = {Weighted tree games},
journal = {The electronic journal of combinatorics},
year = {2025},
volume = {32},
number = {2},
doi = {10.37236/12569},
zbl = {1564.05218},
url = {http://geodesic.mathdoc.fr/articles/10.37236/12569/}
}
TY - JOUR
AU - Patrick Bennett
AU - Alan Frieze
TI - Weighted tree games
JO - The electronic journal of combinatorics
PY - 2025
VL - 32
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/12569/
DO - 10.37236/12569
ID - 10_37236_12569
ER -
%0 Journal Article
%A Patrick Bennett
%A Alan Frieze
%T Weighted tree games
%J The electronic journal of combinatorics
%D 2025
%V 32
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/12569/
%R 10.37236/12569
%F 10_37236_12569
Patrick Bennett; Alan Frieze. Weighted tree games. The electronic journal of combinatorics, Tome 32 (2025) no. 2. doi: 10.37236/12569