A. Ruci'nski

most citedTOF MLEM Adaptation for the Total-Body J-PET with a Realistic Analytical System Response Matrix

3 citations · 6 across the 4 of their papers we have counts for

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math.CO2023★ 2 cited

Erdős-Szekeres type Theorems for ordered uniform matchings

Andrzej Dudek, Jarosław Grytczuk, Andrzej Ruciński

For $r, n \geq 2$ , an ordered $r$ -uniform matching of size $n$ is an $r$ -uniform hypergraph on a linearly ordered vertex set $V$ , with $∣ V ∣ = r n$ , consisting of $n$ pairwise disjoint edg…

math.CO2022★ 1 cited

Ordered unavoidable sub-structures in matchings and random matchings

Andrzej Dudek, Jarosław Grytczuk, Andrzej Ruciński

An ordered matching of size $n$ is a graph on a linearly ordered vertex set $V$ , $∣ V ∣ = 2 n$ , consisting of $n$ pairwise disjoint edges. There are three different ordered matchings of…

math.CO2022

Powers of Hamiltonian cycles in randomly augmented Dirac graphs -- the complete collection

Sylwia Antoniuk, Andrzej Dudek, Andrzej Ruciński

We study the powers of Hamiltonian cycles in randomly augmented Dirac graphs, that is, $n$ -vertex graphs $G$ with minimum degree at least $(1/2 + ε) n$ to which some random…