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math.CO2019
2-Matching Complexes
Julianne Vega
A -matching complex is a simplicial complex which captures the relationship between -matchings of a graph. In this paper, we will use discrete Morse Theory and the Matching T…
math.CO2019
A positivity phenomenon in Elser's Gaussian-cluster percolation model
Galen Dorpalen-Barry, Cyrus Hettle, David C. Livingston +4
Veit Elser proposed a random graph model for percolation in which physical dimension appears as a parameter. Studying this model combinatorially leads naturally to the consideratio…
math.CO2019
Matching complexes of trees and applications of the matching tree algorithm
Marija Jelić Milutinović, Helen Jenne, Alex McDonough +1
A matching complex of a simple graph is a simplicial complex with faces given by the matchings of . The topology of matching complexes is mysterious; there are few graphs fo…