We find the excluded minors for the minor-closed class of lattice path polymatroids as a subclass of the minor-closed class of Boolean polymatroids. Like lattice path matroids and Boolean polymatroids, there are infinitely many excluded minors, but they fall into a small number of easily-described types.
@article{10_37236_10798,
author = {Joseph Bonin and Carolyn Chun and Tara Fife},
title = {The excluded minors for lattice path polymatroids},
journal = {The electronic journal of combinatorics},
year = {2022},
volume = {29},
number = {2},
doi = {10.37236/10798},
zbl = {1491.05046},
url = {http://geodesic.mathdoc.fr/articles/10.37236/10798/}
}
TY - JOUR
AU - Joseph Bonin
AU - Carolyn Chun
AU - Tara Fife
TI - The excluded minors for lattice path polymatroids
JO - The electronic journal of combinatorics
PY - 2022
VL - 29
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/10798/
DO - 10.37236/10798
ID - 10_37236_10798
ER -
%0 Journal Article
%A Joseph Bonin
%A Carolyn Chun
%A Tara Fife
%T The excluded minors for lattice path polymatroids
%J The electronic journal of combinatorics
%D 2022
%V 29
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/10798/
%R 10.37236/10798
%F 10_37236_10798
Joseph Bonin; Carolyn Chun; Tara Fife. The excluded minors for lattice path polymatroids. The electronic journal of combinatorics, Tome 29 (2022) no. 2. doi: 10.37236/10798
