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4 papers · 2 filters
More models of walks avoiding a quadrant (extended abstract)
Mireille Bousquet-Melou, Michael Wallner
We continue the enumeration of plane lattice paths avoiding the negative quadrant initiated by the first author in [Bousquet-M{é}lou, 2016]. We solve in detail a new case, the king…
Counting polynomials over finite fields with prescribed leading coefficients and linear factors
Zhicheng Gao
We count the number of polynomials over finite fields with prescribed leading coefficients and a given number of linear factors. This is equivalent to counting codewords in Reed-So…
Separating layered treewidth and row treewidth
Prosenjit Bose, Vida Dujmović, Mehrnoosh Javarsineh +2
Layered treewidth and row treewidth are recently introduced graph parameters that have been key ingredients in the solution of several well-known open problems. It follows from the…
The combinatorial game nofil played on Steiner Triple Systems
Melissa A. Huggan, Svenja Huntemann, Brett Stevens
We introduce an impartial combinatorial game on Steiner triple systems called Nofil. Players move alternately, choosing points of the triple system. If a player is forced to fill a…