Results 21 to 30 of about 361 (51)

GEOMETRIC BIJECTIONS FOR REGULAR MATROIDS, ZONOTOPES, AND EHRHART THEORY

Forum of Mathematics, Sigma, 2019
Let $M$ be a regular matroid. The Jacobian group $\text{Jac}(M)$ of $M$ is a finite abelian group whose cardinality is equal to the number of bases of $M$.
SPENCER BACKMAN, MATTHEW BAKER, CHI HO YUEN   +2 more
doaj   +1 more source

Coloring Groups [PDF]

Discrete Mathematics & Theoretical Computer Science
We introduce coloring groups, which are permutation groups obtained from a proper edge coloring of a graph. These groups generalize the generalized toggle groups of Striker (which themselves generalize the toggle groups introduced by Cameron and Fon-der ...
Ben Adenbaum, Alexander Wilson
doaj   +1 more source

Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence

, 2018
Consider the generalized iterated wreath product $S_{r_1}\wr \ldots \wr S_{r_k}$ of symmetric groups. We give a complete description of the traversal for the generalized iterated wreath product.
A Kleshchev, Adalbert Kerber, AM Vershik, Barry Simon, DK Maslen, DK Maslen, DN Rockmore, G Mirchandani, Gregory Karpilovsky, JT Astola, JW Cooley, K Balasubramanian, K Balasubramanian, M Clausen, M Leyton, M Schnell, MG Karpovsky, R Foote, R Milot, RC Orellana, T. Ceccherini-Silberstein, Z Daugherty   +21 more
core   +1 more source

Classifying pentavalent symmetric graphs of order 12pq

Open Mathematics
A graph is said to be symmetric if its automorphism group is transitive on its arcs. Guo et al. (Pentavalent symmetric graphs of order 12p, Electron. J. Combin. 18 (2011), no. 1, #P233, DOI: https://doi.org/10.37236/720) and Ling (Classifying pentavalent
Qian Xiaorui, Ling Bo, Yang Jinlong, Zhao Yun   +3 more
doaj   +1 more source

Bender–Knuth Billiards in Coxeter Groups

Forum of Mathematics, Sigma
Let $(W,S)$ be a Coxeter system, and write $S=\{s_i:i\in I\}$ , where I is a finite index set. Fix a nonempty convex subset $\mathscr {L}$ of W. If W is of type A, then $\mathscr {L}$ is the set of linear extensions of a poset,
Grant Barkley, Colin Defant, Eliot Hodges, Noah Kravitz, Mitchell Lee   +4 more
doaj   +1 more source

Orthogonal roots, Macdonald representations, and quasiparabolic sets

Forum of Mathematics, Sigma
Let W be a simply laced Weyl group of finite type and rank n. If W has type $E_7$ , $E_8$ or $D_n$ for n even, then the root system of W has subsystems of type $nA_1$ .
R. M. Green, Tianyuan Xu
doaj   +1 more source

Equivariant Ehrhart theory of hypersimplices

Forum of Mathematics, Sigma
We study the hypersimplex under the action of the symmetric group $S_n$ by coordinate permutation. We prove that its equivariant volume, given by the evaluation of its equivariant $H^*$ -series at $1$ , is the permutation character of ...
Oliver Clarke, Max Kölbl
doaj   +1 more source

Dihedral Sieving Phenomena

, 2019
Cyclic sieving is a well-known phenomenon where certain interesting polynomials, especially $q$-analogues, have useful interpretations related to actions and representations of the cyclic group.
Rao, Sujit, Suk, Joe
core  

A new infinite family of star normal quotient graphs of twisted wreath type. [PDF]

J Algebr Comb (Dordr), 2023
Kaja E, Morgan L.
europepmc   +1 more source

A group theoretic approach to model comparison with simplicial representations. [PDF]

J Math Biol, 2022
Vittadello ST, Stumpf MPH.
europepmc   +1 more source