Results 1 to 10 of about 55 (53)

Graph-Theoretic Invariants and the Normal Subgroup Structure of Automorphism Groups A Unified Treatment of Spectral, Chromatic, and Topological Perspectives Mathematics Subject Classification (2020): 05C25, 05C50, 05E18, 20B25, 20E15

open access: yesAl-Farooq Journal of Sciences
 This paper offers a unified, research-level treatment of the interaction between graph-theoretic invariants and the normal subgroup structure of graph automorphism groups. Starting from the classical framework of Frucht, Sabidussi, Whitney and Watkins, we develop the analysis of  as a permutation group through three complementary lenses: (i) the ...
null AMNNAH ABUOJAYLAH ALHADI RASHEED   +1 more
exaly   +2 more sources

Fischer-Clifford matrices of the generalized symmetric group - (a computational approach)

open access: yesQuaestiones Mathematicae, 2017
Let Zm be the cyclic group of order m and N be the direct product of ncopies of Zm. Let Sn be the symmetric group of degree n. The wreath product ofZm with Sn is a split extension of N by Sn, called the generalized symmetric group,here denoted by B(m; n).
Jamshid Moori
exaly   +1 more source

A birational lifting of the Stanley-Thomas word on products of two chains [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2021
The dynamics of certain combinatorial actions and their liftings to actions at the piecewise-linear and birational level have been studied lately with an eye towards questions of periodicity, orbit structure, and invariants.
Michael Joseph, Tom Roby
doaj   +1 more source

The Hurwitz action in complex reflection groups [PDF]

open access: yes, 2021
We enumerate Hurwitz orbits of shortest reflection factorizations of an arbitrary element in the infinite family \(G(m, p, n)\) of complex reflection groups.
Lewis, Joel Brewster   +4 more
core   +1 more source

The non-existence of block-transitive subspace designs [PDF]

open access: yes, 2022
Let \(q\) be a prime power and \(V\cong\mathbb{F}_q^d\). A \(t\)-\((d,k,\lambda)_q\) design, or simply a subspace design, is a pair \(\mathcal{D}=(V,\mathcal{B})\), where \(\mathcal{B}\) is a subset of the set of all \(k\)-dimensional subspaces of \(V\),
Hawtin, Daniel R.   +5 more
core   +1 more source

A combinatorial basis for the fermionic diagonal coinvariant ring [PDF]

open access: yes, 2023
Let \(\Theta_n = (\theta_1, \dots, \theta_n)\) and \(\Xi_n = (\xi_1, \dots, \xi_n)\) be two lists of \(n\) variables and consider the diagonal action of \(\mathfrak{S}_n\) on the exterior algebra \(\wedge \{ \Theta_n, \Xi_n \}\) generated by these ...
Kim, Jesse, Jesse Kim
core   +1 more source

Efficacy and safety of 0.0584% hydrocortisone aceponate topical spray and systemic oclacitinib combination therapy in dogs with atopic dermatitis: a randomized, double‐blinded, placebo‐controlled trial

open access: yesVeterinary Dermatology, Volume 32, Issue 2, Page 119-e25, April 2021., 2021
Background – Oclacitinib is an effective systemic therapy for dogs with atopic dermatitis (AD). Few studies have evaluated concurrent topical treatment with oclacitinib in dogs. Objectives – To evaluate the efficacy and safety of combination therapy of oclacitinib and 0.0584% hydrocortisone aceponate (HCA) spray in dogs with AD.
Junko Takahashi   +9 more
wiley   +1 more source

On Semisymmetric Cubic Graphs of Order 20p2, p Prime

open access: yesDiscussiones Mathematicae Graph Theory, 2021
A simple graph is called semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let p be an arbitrary prime. Folkman proved [Regular line-symmetric graphs, J. Combin. Theory 3 (1967) 215–232] that there is no semisymmetric graph of
Shahsavaran Mohsen   +1 more
doaj   +1 more source

On 7-valent symmetric graphs of order 2pq and 11-valent symmetric graphs of order 4pq

open access: yesOpen Mathematics, 2022
A graph is said to be symmetric if its automorphism group is transitive on its arcs. This article is one of a series of articles devoted to characterizing prime-valent arc-transitive graphs of square-free order or twice square-free order. In this article,
Ling Bo, Lan Ting, Ding Suyun
doaj   +1 more source

Rotor-Routing Induces the Only Consistent Sandpile Torsor Structure on Plane Graphs

open access: yesForum of Mathematics, Sigma, 2023
We make precise and prove a conjecture of Klivans about actions of the sandpile group on spanning trees. More specifically, the conjecture states that there exists a unique ‘suitably nice’ sandpile torsor structure on plane graphs which is induced by ...
Ankan Ganguly, Alex McDonough
doaj   +1 more source

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