Results 61 to 70 of about 22,931 (240)
Acylindrical group actions on quasi-trees
, 2016 A group G is acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic space. We prove that every acylindrically hyperbolic group G has a generating set X such that the corresponding Cayley graph is a (non-elementary ...
Balasubramanya, Sahana
core +1 more source
Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source
Novel Concepts in Rough Cayley Fuzzy Graphs with Applications
Journal 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
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Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
wiley +1 more source
Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Journal of Mathematics, Volume 2026, Issue 1, 2026.Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
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]
International 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
AKCE 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
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(Random) Trees of Intermediate Volume Growth
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT For every function g:ℝ≥0→ℝ≥0$$ g:{\mathbb{R}}_{\ge 0}\to {\mathbb{R}}_{\ge 0} $$ that grows at least linearly and at most exponentially, if it is sufficiently well‐behaved, we can construct a tree T$$ T $$ of uniform volume growth g$$ g $$, or more precisely, C1·g(r/4)≤|BG(v,r)|≤C2·g(4r),for allr≥0andv∈V(T),$$ {C}_1\cdotp g\left(r/4\right)\le \
George Kontogeorgiou, Martin Winter
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Domination Parameters of the Unitary Cayley Graph of /n
Discussiones 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
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A Review on Kinematically Redundant Parallel Mechanisms With Configurable Platforms
SmartBot, Volume 1, Issue 4, December 2025.This review systematically combs the development context and technical system of Parallel Mechanisms with Configurable Platforms (PMCPs). Furthermore, through the progressive logic of classification, analysis and application, the paper reveals how “kinematic redundancy” and “configurable platform” break through the rigid limitations of traditional ...
Chunxu Tian, Dan Zhang
wiley +1 more source