Results 91 to 100 of about 9,504,920 (193)
A Coarse Geometric Approach to Graph Layout Problems
Journal of Graph Theory, Volume 113, Issue 2, Page 169-194, October 2026.ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
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Non‐Geometric T‐Duality as Higher Groupoid Bundles With Connections
Fortschritte der Physik, Volume 74, Issue 10, October 2026.This paper describes T‐duality between geometric and non‐geometric backgrounds using spans of higher groupoid bundles with adjusted connections. This framework incorporates explicit metric formulas, scalar fields, and Q$Q$‐fluxes. The resulting model reproduces key literature examples while maintaining covariance under the full T‐duality group O(n,n;Z)$
Hyungrok Kim, Christian Saemann
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Smallest posets with given cyclic automorphism group [PDF]
, 2023 For each $n\ge 1$ we determine the minimum number of points in a poset with cyclic automorphism group of order $n$.Comment: 12 pages, 5 ...
Barmak, Jonathan Ariel +1 more
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Automorphism group of the reduced power (di)graph of a finite group [PDF]
We describe the full automorphism group of the directed reduced power graph and the undirected reduced power graph of a finite group. We compute the full automorphism groups of these graphs of several classes of finite groups.
Anitha, T., Rajkumar, R.
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Canonical metrics on holomorphic fibre bundles
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract In this article, we completely describe the existence of canonical metrics, known as optimal symplectic connections, on isotrivial Kähler fibrations. In this setting an optimal symplectic connection is induced from a Hermite–Einstein connection on the holomorphic principal bundle of relative automorphisms, and the Hitchin–Kobayashi ...
John Benjamin McCarthy
wiley +1 more source
Contributions to automorphisms of affine spaces [PDF]
, 2013 We study aspects of the group G_n of polynomial automorphisms of the affine space A^n, the so-called affine Cremona group. Shafarevich introduced on G_n the structure of an ind-variety, an infinite-dimensional analogon to a (classical) variety.
Stampfli, Immanuel
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On automorphism groups of metric reduced products of symmetric groups
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We study isomorphisms between metric reduced products of symmetric groups with the normalized Hamming metric assuming the open coloring axiom OCA${\mathsf {OCA}}$ and Martin's axiom for σ$\sigma$‐linked posets.
Ben De Bondt, Andreas Thom
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, 2008 We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric.
Sanchez-Garcia, Ruben J. +2 more
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A zero–one law for the spectral gap property of pairs in SU(2)$\mathrm{SU}(2)$
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract For n⩾2$n \geqslant 2$, Gamburd, Jakobson, and Sarnak [J. Eur. Math. Soc. 1 (1999), 51–85] conjectured that almost every n$n$‐tuple in SU(2)$\mathrm{SU}(2)$ has a spectral gap. Toward this conjecture, Fisher [Int. Math. Res. Not. (2006), Art. ID 26028] established a zero–one law for n⩾3$n \geqslant 3$, but obtained only a partial result for n ...
Oleg Pikhurko, Kohki Sakamoto
wiley +1 more source