Results 91 to 100 of about 420,658 (213)
Proper 3‐realizability and second cohomology of groups on two generators of finite order
Abstract Given an (infinite) finitely generated group G$G$, its first cohomology group H1(G;ZG)$H^1(G;{\mathbb {Z}}G)$ is free abelian and “counts” the number of ends of G$G$ which equals 1+rank(H1(G;ZG))$1 + rank (H^1(G;{\mathbb {Z}}G))$. The question whether or not for every finitely presented group G$G$ its second cohomology group H2(G;ZG)$H^2(G ...
Francisco F. Lasheras, R. Roy
wiley +1 more source
Proceedings of the Third Learning on Graphs Conference (LoG 2024), PMLR 269.
JJ Wilson +2 more
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The Zarankiewicz problem on tripartite graphs
Abstract In 1975, Bollobás, Erdős, and Szemerédi asked for the smallest τ$\tau$ such that an n×n×n$n \times n \times n$ tripartite graph with minimum degree n+τ$n + \tau$ must contain Kt,t,t$K_{t, t, t}$, conjecturing that τ=O(n1/2)$\tau = \mathcal {O}(n^{1/2})$ for t=2$t = 2$.
Francesco Di Braccio +1 more
wiley +1 more source
Identifiability of points and rigidity of hypergraphs under algebraic constraints
Abstract The identifiability problem arises naturally in a number of contexts in mathematics and computer science. Specific instances include local or global rigidity of graphs and unique completability of partially‐filled tensors subject to rank conditions.
James Cruickshank +3 more
wiley +1 more source
Hamiltonian Normal Cayley Graphs
A variant of the Lovász Conjecture on hamiltonian paths states that every finite connected Cayley graph contains a hamiltonian cycle. Given a finite group G and a connection set S, the Cayley graph Cay(G, S) will be called normal if for every g ∈ G we ...
Montellano-Ballesteros Juan José +1 more
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On the Foundational Arguments of Sufficient Dimension Reduction
Contemporary Sufficient Dimension Reduction, a versatile method for extracting material information from data, can serve as a preprocessor for classical modeling and inference, or as a standalone theory that leads directly to statistical inference. ABSTRACT Sufficient dimension reduction (SDR) refers to supervised methods of dimension reduction that ...
R. Dennis Cook
wiley +1 more source
Strongly regular tri-Cayley graphs [PDF]
A graph is called tri-Cayley if it admits a semiregular subgroup of automorphisms having three orbits of equal length. In this paper, the structure of strongly regular tri-Cayley graphs is investigated.
Miklavič, Štefko +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Connectivity of addition Cayley graphs
For any finite abelian group $G$ and any subset $S\seq G$, we determine the connectivity of the addition Cayley graph induced by $S$ on $G$. Moreover, we show that if this graph is not complete, then it possesses a minimum vertex cut of a special, explicitly described form.
David J. Grynkiewicz +2 more
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ON (3,6) AND (4,6) - FULLERENE CAYLEY GRAPHS
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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