Results 41 to 50 of about 118 (93)

Almost Self-Complementary 3-Uniform Hypergraphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
It is known that self-complementary 3-uniform hypergraphs on n vertices exist if and only if n is congruent to 0, 1 or 2 modulo 4. In this paper we define an almost self-complementary 3-uniform hypergraph on n vertices and prove that it exists if and ...
Kamble Lata N.   +2 more
doaj   +1 more source

SYMMETRIC AND ASYMMETRIC RAMSEY PROPERTIES IN RANDOM HYPERGRAPHS

open access: yesForum of Mathematics, Sigma, 2017
A celebrated result of Rödl and Ruciński states that for every graph $F$ , which is not a forest of stars and paths of length 3, and fixed number of colours
LUCA GUGELMANN   +5 more
doaj   +1 more source

Shortest paths on polymatroids and hypergraphic polytopes [PDF]

open access: yes
Base polytopes of polymatroids, also known as generalized permutohedra, are polytopes whose edges are parallel to a vector of the form \(\mathbf{e}_i - \mathbf{e}_j\), where the \(\{\mathbf{e}_i\}_{i\in [n]}\) are the canonical basis vectors of \(\mathbb{
Cardinal, Jean, Steiner, Raphael
core   +1 more source

EIGENVALUES AND LINEAR QUASIRANDOM HYPERGRAPHS

open access: yesForum of Mathematics, Sigma, 2015
Let $p(k)$ denote the partition function of $k$. For each $k\geqslant 2$, we describe a list of $p(k)-1$ quasirandom properties that a $k$-uniform hypergraph can have. Our work connects previous notions on linear hypergraph quasirandomness by Kohayakawa,
JOHN LENZ, DHRUV MUBAYI
doaj   +1 more source

Parsimonious cluster systems

open access: yes
Overlapping clustering, Parsimony, Phylogenetic trees, Dissimilarities, 05C65, 05C05, 03G10,
Alain Gély, François Brucker
core   +1 more source

A minimum dimensional class of simple games

open access: yes
Simple games, Hypergraphs, Boolean algebra, Dimension, Codimension, 05C65, 91A12, 94C10,
Josep Freixas, Dorota Marciniak
core   +1 more source

Central hubs prediction for bio networks by directed hypergraph - GA with validation to COVID-19 PPI. [PDF]

open access: yesPattern Recognit Lett, 2022
Gopalakrishnan S   +4 more
europepmc   +1 more source

Finite Hypergraph Families with Rich Extremal Turán Constructions via Mixing Patterns

open access: yesForum of Mathematics, Sigma
We prove that, for any finite set of minimal r-graph patterns, there is a finite family $\mathcal F$ of forbidden r-graphs such that the extremal Turán constructions for $\mathcal F$ are precisely the maximum r-graphs obtainable from mixing
Xizhi Liu, Oleg Pikhurko
doaj   +1 more source

Extremal, enumerative and probabilistic results on ordered hypergraph matchings

open access: yesForum of Mathematics, Sigma
An ordered r-matching is an r-uniform hypergraph matching equipped with an ordering on its vertices. These objects can be viewed as natural generalisations of r-dimensional orders.
Michael Anastos   +3 more
doaj   +1 more source

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