Results 31 to 40 of about 118 (93)

Revisiting hypergraph models for sparse matrix partitioning [PDF]

open access: yes, 2006
. We provide an exposition of hypergraph models for parallelizing sparse matrix-vector multiplies. Our aim is to emphasize the expressive power of hypergraph models.
Uçar, Bora   +4 more
core   +1 more source

Asymptotic Sharpness of Bounds on Hypertrees

open access: yesDiscussiones Mathematicae Graph Theory, 2017
The hypertree can be defined in many different ways. Katona and Szabó introduced a new, natural definition of hypertrees in uniform hypergraphs and investigated bounds on the number of edges of the hypertrees.
Lin Yi, Kang Liying, Shan Erfang
doaj   +1 more source

On cordial labeling of hypertrees [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
Let $f:V\rightarrow\mathbb{Z}_k$ be a vertex labeling of a hypergraph $H=(V,E)$. This labeling induces an~edge labeling of $H$ defined by $f(e)=\sum_{v\in e}f(v)$, where the sum is taken modulo $k$.
Michał Tuczyński   +2 more
doaj   +1 more source

Малки неравномерни хиперграфи без свойство B

open access: yes, 2023
[Cherkashin Danila; Черкашин Данила]2020 Mathematics Subject Classification: 05C15 ...
Cherkashin, Danila
core  

On characterization of finite modules by hypergraphs

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
With a finite R-module M we associate a hypergraph 𝒞𝒥ℋR(M) having the set V of vertices being the set of all nontrivial submodules of M. Moreover, a subset Ei of V with at least two elements is a hyperedge if for K, L in Ei there is K ∩ L ≠ = 0 and Ei is
Hamzekolaee Ali Reza Moniri   +1 more
doaj   +1 more source

Packing in regular graphs

open access: yes, 2017
A set S of vertices in a graph G is a packing if the vertices in S are pairwise at distance at least 3 apart in G. The packing number of G, denoted by p(G), is the maximum cardinality of a packing in G. Favaron [Discrete Math. 158 (1996), 287–293] showed
Michael A. Henning   +3 more
core   +1 more source

Algebraic Heun Operators with Tetrahedral Monodromy

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Our work adds to the picture of second order differential operators with a full set of algebraic solutions, which we will call algebraic. We see algebraic Heun operators as pull-backs of algebraic hypergeometric operators via Belyi functions. We focus on
Pleşca Iulia-Cătălina
doaj   +1 more source

Matchings in multipartite hypergraphs [PDF]

open access: yes
A folklore result on matchings in graphs states that if \(G\) is a bipartite graph whose vertex classes \(A\) and \(B\) each have size \(n\), with \(\deg(u) \geq a\) for every \(u \in A\) and \(\deg(v) \geq b\) for every \(v \in B\), then \(G\) admits a ...
Bowtell, Candida, Mycroft, Richard
core   +1 more source

Integral geometry on discrete matrices

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.
Attioui Abdelbaki
doaj   +1 more source

Eigenvalues of the Adjacency Tensor on Products of Hypergraphs [PDF]

open access: yes, 2013
We consider the generalized notions of Cartesian and tensor products on m-uniform hypergraphs. The adjacency tensor is analogous to the adjacency matrix and two different notions of eigenvalues of the adjacency tensor on the products of hypergraphs are ...
Kelly J Pearson, Tan Zhang
core  

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