Results 91 to 100 of about 653 (189)

On the Lovasz O-number of Almost Regular Graphs With Application to Erdos-Renyi Graphs

open access: yes
AMS classifications: 05C69; 90C35; 90C22;Erdos-Renyi graph;stability number;Lovasz O-number;Schrijver O-number;C*-algebra;semidefinite ...
Klerk, E. de   +3 more
core  

On Regular Hypergraphs of High Girth

open access: yes, 2016
We give lower bounds on the maximum possible girth of an r-uniform, d-regular hypergraph with at most n vertices, using the definition of a hypergraph cycle due to Berge.
Linial, N, ELLIS, DC
core  

A Simple Regularization of Hypergraphs

open access: yes, 2006
We give a simple and natural (probabilistic) construction of hypergraph regularization. It is done just by taking a constant-bounded number of random vertex samplings only one time (thus, iteration-free). It is independent from the definition of quasi-randomness and yields a new elementary proof of a strong hypergraph regularity lemma. Consequently, as
openaire   +2 more sources

A variant of the hypergraph removal lemma

open access: yes, 2006
Recent work of Gowers [T. Gowers, A new proof of Szemerédi's theorem, Geom. Funct. Anal. 11 (2001) 465–588] and Nagle, Rödl, Schacht, and Skokan [B. Nagle, V. Rödl, M.
Tao, Terence
core   +1 more source

Hypergraph coverings and Ramanujan Hypergraphs

open access: yes
In this paper we investigate Ramanujan hypergraphs by using hypergraph coverings. We first show that the spectrum of a $k$-fold covering $\bar{H}$ of a connected hypergraph $H$ contains the spectrum of $H$, and that it is the union of the spectrum of $H$
Fan, Yi-Zheng   +2 more
core  

A selection algorithm based on the hypergraph theory

open access: yes, 2014
Artykuł porusza kwestię selekcji określonych elementów zbioru z wykorzystaniem teorii hipergrafów. Przedstawiona została idea wspólnego algorytmu selekcji, w przypadku takich problemów, jak selekcja podsieci automatowych w dekompozycji sieci Petriego, a ...
Adamski, M.   +2 more
core  

Is It Easy to Regularize a Hypergraph With Easy Links?

open access: yesInternational Mathematics Research Notices
Abstract A partition of a (hyper)graph is $\varepsilon $-homogeneous if the edge densities between almost all clusters are either at most $\varepsilon $ or at least $1-\varepsilon $. Suppose a $3$-graph has the property that the link of every vertex has an $\varepsilon $-homogeneous partition of size $\textrm{poly}(1/\varepsilon ...
Gishboliner, Lior   +2 more
openaire   +2 more sources

Algorithmic Applications of Hypergraph and Partition Containers

open access: yes, 2022
We present a general method to convert algorithms into faster algorithms for almost-regular input instances. Informally, an almost-regular input is an input in which the maximum degree is larger than the average degree by at most a constant factor.
Zamir, Or
core  

Multi-task Learning of Heterogeneous Hypergraph Representations in LBSNs

open access: yes
Location-based service networks (LBSNs) have emerged as a primary source for numerous applications that attempt to understand human mobility and analyze social networks.
Nguyen, DDA   +5 more
core   +1 more source

Hypergraph-Based Interconnection Networks for Large Multicomputers [PDF]

open access: yes, 1994
This thesis deals with issues pertaining to multicomputer interconnection networks namely topology, technology, switching method, and routing algorithm.
Ould-Khaoua, Mohamed
core  

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