Results 31 to 40 of about 604 (73)

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

On hypergraph Lagrangians [PDF]

open access: yes, 2014
It is conjectured by Frankl and F\"uredi that the $r$-uniform hypergraph with $m$ edges formed by taking the first $m$ sets in the colex ordering of ${\mathbb N}^{(r)}$ has the largest Lagrangian of all $r$-uniform hypergraphs with $m$ edges in \cite{FF}.
Lu, Xiaojun   +3 more
core  

Overgroups of the Automorphism Group of the Rado Graph

open access: yes, 2012
We are interested in overgroups of the automorphism group of the Rado graph. One class of such overgroups is completely understood; this is the class of reducts.
Cameron, Peter   +4 more
core   +2 more sources

A Finite Characterization and Recognition of Intersection Graphs of Hypergraphs with Rank at Most 3 and Multiplicity at Most 2 in the Class of Threshold Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
We characterize the class L32$L_3^2 $ of intersection graphs of hypergraphs with rank at most 3 and multiplicity at most 2 by means of a finite list of forbidden induced subgraphs in the class of threshold graphs.
Metelsky Yury   +2 more
doaj   +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

DP-colorings of uniform hypergraphs and splittings of Boolean hypercube into faces

open access: yes, 2022
We develop a connection between DP-colorings of $k$-uniform hypergraphs of order $n$ and coverings of $n$-dimensional Boolean hypercube by pairs of antipodal $(n-k)$-dimensional faces. Bernshteyn and Kostochka established that the lower bound on edges in
Potapov, Vladimir N.
core  

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

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

Resolvability in Hypergraphs

open access: yes, 2018
This article emphasizes an extension of the study of metric and par- tition dimension to hypergraphs. We give a sharp lower bounds for the metric and partition dimension of hypergraphs in general and give exact values under specified conditions.eral and ...
Haider, Azeem   +3 more
core  

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