Results 71 to 80 of about 452 (178)
Complete Rotations in Cayley Graphs
European Journal of Combinatorics, 2001 Consider a Cayley graph \(\text{Cay}(G,S)\) of a finite group \(G\) generated by a set \(S=S^{-1}=\{s_0,\ldots,s_{|S|-1}\}\) where \(1\notin S\). A bijection \(\omega:G\to G\) is called a complete rotation of the graph if \(\omega(1)=1\) and \(\omega(xs_i)=\omega(x)s_{i+1}\) for all \(x\in G\) and all \(i\in{\mathbb{Z}}_{|S|}\).
Heydemann, Marie-Claude +2 more
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Mean‐field behaviour of the random connection model on hyperbolic space
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the random connection model on hyperbolic space Hd${\mathbb {H}^d}$ in dimension d=2,3$d=2,3$. Vertices of the spatial random graph are given as a Poisson point process with intensity λ>0$\lambda >0$. Upon variation of λ$\lambda$, there is a percolation phase transition: there exists a critical value λc>0$\lambda _c>0$ such that for λ<
Matthew Dickson, Markus Heydenreich
wiley +1 more source
Isomorphisms of generalized Cayley graphs
Ars Mathematica Contemporanea, 2018 Summary: In this paper, we investigate the isomorphism problems of the generalized Cayley graphs, which are generalizations of the traditional Cayley graphs. We find that there are two types of natural isomorphisms for the generalized Cayley graphs. We also study the GCI-groups among the generalized Cayley graphs, and the Cayley regressions of some ...
Feng, Lihua, Liu, Weijun, Yang, Xu
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On Endomorphism Universality of Sparse Graph Classes
Journal of Graph Theory, Volume 110, Issue 2, Page 223-244, October 2025.ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
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Barycentric Subdivision of Cayley Graphs With Constant Edge Metric Dimension
IEEE Access, 2020 A motion of a robot in space is represented by a graph. A robot change its position from point to point and its position can be determined itself by distinct labelled landmarks points.
Ali N. A. Koam, Ali Ahmad
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Preconditioned Deformation Grids
Computer Graphics Forum, Volume 44, Issue 7, October 2025.Abstract Dynamic surface reconstruction of objects from point cloud sequences is a challenging field in computer graphics. Existing approaches either require multiple regularization terms or extensive training data which, however, lead to compromises in reconstruction accuracy as well as over‐smoothing or poor generalization to unseen objects and ...
Julian Kaltheuner +4 more
wiley +1 more source
Electronic Notes in Discrete Mathematics, 2016 Abstract Let R be a commutative ring with two binary operators addition (+) and multiplication (.). Then Z n is a ring of integers modulo n, where n is a positive integer. A Absorption Cayley graph denoted by Ω ( Z n ) is a graph whose vertex set is Z n , the integer modulo n and edge set E = { a b ...
null Deepa Sinha, null Deepakshi Sharma
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Meteoritics &Planetary Science, Volume 60, Issue 10, Page 2504-2523, October 2025.Abstract The lunar regolith contains a rich history of Solar System impact events and solar activity. Many future missions will land in the south polar region of the Moon, a heavily impact cratered highland terrain, similar to the Apollo 16 landing site.
Stephanie L. Halwa +3 more
wiley +1 more source
ON (3,6) AND (4,6) - FULLERENE CAYLEY GRAPHS
Studia Universitatis Babes-Bolyai Chemia, 2016 An (r, s)-fullerene graph is a planar 3-regular graph with only Cr and Cs faces, where Cn denotes a cycle of length n. In this paper, the (3,6)-fullerene Cayley graphs constructed from finite groups are classified.
Ali Reza ASHRAFI +2 more
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Quantum Unique Ergodicity for Cayley Graphs of Quasirandom Groups. [PDF]
Commun Math Phys, 2023 Magee M, Thomas J, Zhao Y.
europepmc +1 more source