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- Pennsylvania State UniversityUS13 papers
- Los Alamos National LaboratoryUS10 papers
- National Institute of Standards and TechnologyUS9 papers
- LSU New OrleansUS7 papers
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- Louisiana State UniversityUS6 papers
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- Max Planck Institute for the Physics of Complex SystemsDE5 papers
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9 papers · 1 filter
Quasi f-Simplicial Complexes and Quasi f-Graphs
Hasan Mahmood, Fazal Ur Rehman, Thai Thanh Nguyen +1
The notion of -ideal is recent and has so far been studied in several papers. In \cite{qfi}, the idea of -ideal is generalized to quasi -ideals, which is much larger class…
Schubert polynomial analogues for degenerate involutions
Michael Joyce
We survey the recent study of involution Schubert polynomials and a modest generalization that we call degenerate involution Schubert polynomials. We cite several conditions when (…
The Number of Seymour Vertices in Random Tournaments and Digraphs
Zachary Cohn, Anant Godbole, Elizabeth Wright Harkness +1
Seymour's distance two conjecture states that in any digraph there exists a vertex (a "Seymour vertex") that has at least as many neighbors at distance two as it does at distance o…
Chains in Weak Order Posets Associated to Involutions
Mahir Bilen Can, Michael Joyce, Benjamin Wyser
The W-set of an element of a weak order poset is useful in the cohomological study of the closures of spherical subgroups in generalized flag varieties. We explicitly describe in a…
Explicit computations with the Divided Symmetrization operator
Tewodros Amdeberhan
Given a multi-variable polynomial, there is an associated divided symmetrization (in particular turning it into a symmetric function). Postinkov has found the volume of a permutohe…
Lexicographic Shellability of Partial Involutions
Mahir Bilen Can, Tim Twelbeck
In this manuscript we study inclusion posets of Borel orbit closures on (symmetric) matrices. In particular, we show that the Bruhat poset of partial involutions is a lexicographii…