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math.CO2022
Deranged matchings: proofs and conjectures
Daniel Johnston, P. Mark Kayll, Cory Palmer
We introduce, and partially resolve, a conjecture that brings a three-centuries-old derangements phenomenon and its much younger two-decades-old analogue under the same umbrella. T…
math.CO2022
Egerváry graphs: Deming decompositions and independence structure
P. Mark Kayll, Craig E. Larson
We leverage an algorithm of Deming [R.W. Deming, Independence numbers of graphs -- an extension of the Koenig-Egervary theorem, Discrete Math., 27(1979), no. 1, 23--33; MR534950] t…