421 citations
- Babeș-Bolyai UniversityRO45 papers
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- Budapest University of Technology and EconomicsHU9 papers
- HUN-REN Wigner Research Centre for PhysicsHU9 papers
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4 papers · 2 filters
A generalization of the Erdős-Ko-Rado Theorem
Gábor Hegedüs
Our main result is a new upper bound for the size of k-uniform, L-intersecting families of sets, where L contains only positive integers. We characterize extremal families in this…
A Bollobás-type theorem for affine subspaces
Gábor Hegedüs
Let denote the -dimensional affine space over the finite field . We prove here a Bollobás-type upper bound in the case of the set of affine subspaces. We give a…
Novel Zagreb Indices-Based Inequalities with Particular Regard to Semiregular and Generalized Semiregular Graphs
Tamás Réti, Imre Felde
Topological relations between three degree-based invariants of a connected graph G are investigated. We present novel inequalities including M1(G), M2(G) and F(G), and show that in…
Ehrhart polynomial roots of reflexive polytopes
Gábor Hegedüs, Akihiro Higashitani, Alexander Kasprzyk
Recent work has focused on the roots z of the Ehrhart polynomial of a lattice polytope P. The case when Re(z) = -1/2 is of particular interest: these polytopes satisfy Golyshev's "…