Results 41 to 50 of about 209 (119)
On vertex‐transitive graphs with a unique hamiltonian cycle
Journal of Graph Theory, Volume 108, Issue 1, Page 65-99, January 2025.Abstract A graph is said to be uniquely hamiltonian if it has a unique hamiltonian cycle. For a natural extension of this concept to infinite graphs, we find all uniquely hamiltonian vertex‐transitive graphs with finitely many ends, and also discuss some examples with infinitely many ends.
Babak Miraftab, Dave Witte Morris
wiley +1 more source
Free groups with involution satisfying a *-group identity [PDF]
, 2015 Let G be a nonabelian free group with involution ∗. In the present note, we show that G satisfies a ∗-group identity if and only if ∗ is the classical involution, given by $g^∗= g^{−1}$ for all g ...
Spinelli, Ernesto +2 more
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Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.Abstract A new method is developed for finding exact solitary wave solutions of a generalized Korteweg–de Vries equation with p$p$‐power nonlinearity coupled to a linear Schrödinger equation arising in many different physical applications. This method yields 22 solution families, with p=1,2,3,4$p=1,2,3,4$.
Stephen C. Anco +3 more
wiley +1 more source
FINITE INDEX SUBGROUPS OF FULLY RESIDUALLY FREE GROUPS
, 2011 Using graph-theoretic techniques for f.g. subgroups of Fℤ[t] we provide a criterion for a f.g. subgroup of a f.g. fully residually free group to be of finite index. Moreover, we show that this criterion can be checked effectively.
ANDREY V. NIKOLAEV, DENIS E. SERBIN
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Measure equivalence classification of transvection-free right-angled Artin groups
, 2022 We prove that if two transvection-free right-angled Artin groups are measure equivalent, then they have isomorphic extension graphs. As a consequence, two right-angled Artin groups with finite outer automorphism groups are measure equivalent if and only ...
Huang, Jingyin +3 more
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Auto‐Bäcklund Transformations for New Matrix First and Second Painlevé Hierarchies
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We define a new doubly extended matrix second Painlevé hierarchy, and in addition a new extended matrix first Painlevé hierarchy. For the former, we present three auto‐Bäcklund transformations (auto‐BTs) that constitute nontrivial extensions to our new hierarchy of previously derived results on the auto‐BTs of a much simpler matrix second ...
Pilar Ruiz Gordoa, Andrew Pickering
wiley +1 more source
Growth of generating sets for direct powers of classical algebraic structures
, 2012 For an algebraic structure A denote by d(A) the smallest size of a generating set for A, and let d(A)=(d(A),d(A2),d(A3),…), where An denotes a direct power of A.
Ruskuc, Nik, Quick, Martyn
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Equivariant birational types and derived categories
Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning +2 more
wiley +1 more source
The Borel complexity of the space of left‐orderings, low‐dimensional topology, and dynamics
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We develop new tools to analyze the complexity of the conjugacy equivalence relation Elo(G)$E_\mathsf {lo}(G)$, whenever G$G$ is a left‐orderable group. Our methods are used to demonstrate nonsmoothness of Elo(G)$E_\mathsf {lo}(G)$ for certain groups G$G$ of dynamical origin, such as certain amalgams constructed from Thompson's group F$F$.
Filippo Calderoni, Adam Clay
wiley +1 more source
Bieberbach groups with finite point groups [PDF]
, 2011 A Bieberbach group is a torsion free crystallographic group. It is an extension of a lattice group, which is a maximal normal free abelian group of nite rank, by a nite point group.
Mohd. Idrus, Nor'ashiqin
core