Results 11 to 20 of about 69,062 (214)
Generalized Fitch Graphs III: Symmetrized Fitch maps and Sets of Symmetric Binary Relations that are explained by Unrooted Edge-labeled Trees [PDF]
Binary relations derived from labeled rooted trees play an import role in mathematical biology as formal models of evolutionary relationships. The (symmetrized) Fitch relation formalizes xenology as the pairs of genes separated by at least one horizontal
Marc Hellmuth+2 more
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On the heapability of finite partial orders [PDF]
We investigate the partitioning of partial orders into a minimal number of heapable subsets. We prove a characterization result reminiscent of the proof of Dilworth's theorem, which yields as a byproduct a flow-based algorithm for computing such a ...
János Balogh+4 more
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Bounding the Number of Minimal Transversals in Tripartite 3-Uniform Hypergraphs [PDF]
We focus on the maximum number of minimal transversals in 3-partite 3-uniform hypergraphs on n vertices. Those hypergraphs (and their minimal transversals) are commonly found in database applications.
Alexandre Bazin+3 more
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The agreement distance of unrooted phylogenetic networks [PDF]
A rearrangement operation makes a small graph-theoretical change to a phylogenetic network to transform it into another one. For unrooted phylogenetic trees and networks, popular rearrangement operations are tree bisection and reconnection (TBR) and ...
Jonathan Klawitter
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On the shelling antimatroids of split graphs [PDF]
Chordal graph shelling antimatroids have received little attention with regard to their combinatorial properties and related optimization problems, as compared to the case of poset shelling antimatroids.
Jean Cardinal+2 more
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Learning combinatorics material requires a digital learning medium that is able to support students' independent learning. The unavailability of digital media makes students experience difficulties, so independent learning cannot be carried out ...
Indah Riezky Pratiwi+4 more
semanticscholar +1 more source
Constructive Combinatorics in Elementary School Mathematics
The paper describes in detail a class of educational problems from an elementary school course of mathematics and computer science. This course has been implemented over the past decades by a team led by Academician of the RAS A.L. Semenov.
M. A. Posicelskaya
semanticscholar +1 more source
In this case study, we investigate one teacher’s implementation of DNR-based combinatorics curriculum in their high school discrete mathematics class. By examining the teacher’s practices in whole-class discussions of two counting problems, we study how ...
Osvaldo D. Soto, Kris Siy, G. Harel
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Taking-and-merging games as rewrite games [PDF]
This work is a contribution to the study of rewrite games. Positions are finite words, and the possible moves are defined by a finite number of local rewriting rules.
Eric Duchêne+3 more
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Bringing a CURE into a Discrete Mathematics Course and Beyond
Course-based Undergraduate Research Experiences (CUREs) have been well developed in the hard sciences, but math CUREs are all but absent from the literature.
Lipika Deka+2 more
semanticscholar +1 more source