Results 61 to 70 of about 20,494 (188)

Novel Concepts in Rough Cayley Fuzzy Graphs with Applications

open access: yesJournal of Mathematics, 2023
Today, fuzzy graphs (FGs) have a variety of applications in other fields of study, including medicine, engineering, and psychology, and for this reason, many researchers around the world are trying to identify their properties and use them in computer ...
Yongsheng Rao   +5 more
doaj   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Heights of Butterfly Trees

open access: yesRandom Structures &Algorithms, Volume 68, Issue 3, May 2026.
ABSTRACT Binary search trees (BSTs) are fundamental data structures whose performance is largely governed by tree height. We introduce a block model for constructing BSTs by embedding internal BSTs into the nodes of an external BST—a structure motivated by parallel data architectures—corresponding to composite permutations formed via Kronecker or ...
John Peca‐Medlin, Chenyang Zhong
wiley   +1 more source

Normal edge-transitive and $ frac{1}{2}$-arc-transitive Cayley graphs on non-abelian groups of order $2pq$ , $p > q$ are primes [PDF]

open access: yesInternational Journal of Group Theory, 2016
Darafsheh and Assari in [Normal edge-transitive Cayley graphs onnon-abelian groups of order 4p, where p is a prime number,Sci. China Math. {bf 56} (1) (2013) 213$-$219.] classified the connected normal edge transitive and$frac{1}{2}-$arc-transitive ...
Ali Reza Ashrafi, Bijan Soleimani
doaj  

Unitary Cayley graphs of Dedekind domain quotients

open access: yesAKCE International Journal of Graphs and Combinatorics, 2016
If X is a commutative ring with unity, then the unitary Cayley graph of X, denoted GX, is defined to be the graph whose vertex set is X and whose edge set is {{a,b}:a−b∈X×}.
Colin Defant
doaj   +1 more source

Exactness and the topology of the space of invariant random equivalence relations

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.
Abstract We characterize exactness of a countable group Γ$\Gamma$ in terms of invariant random equivalence relations (IREs) on Γ$\Gamma$. Specifically, we show that Γ$\Gamma$ is exact if and only if every weak limit of finite IREs is an amenable IRE.
Héctor Jardón‐Sánchez   +3 more
wiley   +1 more source

Domination Parameters of the Unitary Cayley Graph of 𝕑/n𝕑

open access: yesDiscussiones Mathematicae Graph Theory, 2023
The unitary Cayley graph of 𝕑/n𝕑, denoted Xn, is the graph with vertex set {0, . . ., n − 1} where vertices a and b are adjacent if and only if gcd(a − b, n) = 1.
Burcroff Amanda
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré   +4 more
wiley   +1 more source

Pentavalent arc-transitive Cayley graphs on Frobenius groups with soluble vertex stabilizer

open access: yesOpen Mathematics, 2019
A Cayley graph Γ is said to be arc-transitive if its full automorphism group AutΓ is transitive on the arc set of Γ. In this paper we give a characterization of pentavalent arc-transitive Cayley graphs on a class of Frobenius groups with soluble vertex ...
Liu Hailin
doaj   +1 more source

Certifying Anosov representations

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
wiley   +1 more source

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