Results 1 to 10 of about 332 (30)
A birational lifting of the Stanley-Thomas word on products of two chains [PDF]
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
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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
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On Semisymmetric Cubic Graphs of Order 20p2, p Prime
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
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On 7-valent symmetric graphs of order 2pq and 11-valent symmetric graphs of order 4pq
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
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Rotor-Routing Induces the Only Consistent Sandpile Torsor Structure on Plane Graphs
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
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In this paper, we introduce a new family of circulants GA(t, k), called Generalized Andrásfai graphs, where t, k ≥ 2 are integers. We study various parameters like diameter, girth, domination number etc. of GA(t, k).
Biswas Sucharita+2 more
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Efficient Domination in Cayley Graphs of Generalized Dihedral Groups
An independent subset D of the vertex set V of the graph Γ is an efficient dominating set for Γ if each vertex v ∈ V \ D has precisely one neighbour in D. In this article, we classify the connected cubic Cayley graphs on generalized dihedral groups which
Caliskan Cafer+3 more
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Symmetry of Narayana Numbers and Rowvacuation of Root Posets
For a Weyl group W of rank r, the W-Catalan number is the number of antichains of the poset of positive roots, and the W-Narayana numbers refine the W-Catalan number by keeping track of the cardinalities of these antichains.
Colin Defant, Sam Hopkins
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An approach to Quillen’s conjecture via centralisers of simple groups
For any given subgroup H of a finite group G, the Quillen poset ${\mathcal {A}}_p(G)$ of nontrivial elementary abelian p-subgroups is obtained from ${\mathcal {A}}_p(H)$ by attaching elements via their centralisers in H.
Kevin Iván Piterman
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Trees with Distinguishing Index Equal Distinguishing Number Plus One
The distinguishing number (index) D(G) (D′ (G)) of a graph G is the least integer d such that G has an vertex (edge) labeling with d labels that is preserved only by the trivial automorphism.
Alikhani Saeid+3 more
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