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Hitting sets and colorings of hypergraphs

Autor: Bursics, Balázs, Csonka, Bence, Szepessy, Luca

In this paper we study the minimal size of edges in hypergraph families that guarantees the existence of a polychromatic coloring, that is, a $k$-coloring of a vertex set such that every hyperedge contains a vertex of all $k$ color classes. We also i

Externí odkaz: http://arxiv.org/abs/2307.12154

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A coloring of the plane without monochromatic right triangles

Autor: Bursics, Balázs, Komjáth, Péter

We give a full, correct proof of the following result, earlier claimed by Erd\H{o}s and Komj\'ath. If the Continuum Hypothesis holds then there is a coloring of the plane with countably many colors, with no monocolored right triangle.

Externí odkaz: http://arxiv.org/abs/2302.12215

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Avoiding right angles and certain Hamming distances

Autor: Bursics, Balázs, Matolcsi, Dávid, Pach, Péter Pál, Schrettner, Jakab

In this paper we show that the largest possible size of a subset of $\mathbb{F}_q^n$ avoiding right angles, that is, distinct vectors $x,y,z$ such that $x-z$ and $y-z$ are perpendicular to each other is at most $O(n^{q-2})$. This improves on the prev

Externí odkaz: http://arxiv.org/abs/2012.08232

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Akademický článek

Avoiding right angles and certain Hamming distances

Autor: Bursics, Balázs, Matolcsi, Dávid, Pach, Péter Pál, Schrettner, Jakab

Publikováno v: In Linear Algebra and Its Applications 15 November 2023 677:71-87

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Improved Accuracy of Lymph Node Staging and Long-Term Survival Benefit in Colorectal Cancer With Ex Vivo Arterial Methylene Blue Infiltration

Autor: Nóra Suszták, István Besznyák, Kálmán Almási, Attila Bursics, Dóra Kelemen, David W. Borowski, Balázs Bánky

Publikováno v: Pathology and Oncology Research, Vol 28 (2022)

Introduction:Ex vivo methylene blue (MB) injection into the main supplying arteries of the colorectal specimen after surgical removal is an uncomplicated technique to support lymph node harvest during pathological evaluation. The primary aim of this

Externí odkaz: https://doaj.org/article/c8ad70df05234afba7806017012fd69a

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Akademický článek

Wnt Activity and Cell Proliferation Are Coupled to Extracellular Vesicle Release in Multiple Organoid Models

Autor: Gyöngyvér Orsolya Sándor, András Áron Soós, Péter Lörincz, Lívia Rojkó, Tünde Harkó, Levente Bogyó, Tamás Tölgyes, Attila Bursics, Edit I. Buzás, Judit Moldvay, Zoltán Wiener

Publikováno v: Frontiers in Cell and Developmental Biology, Vol 9 (2021)

Extracellular vesicles (EV) are considered as a potential tool for early disease diagnosis; however, factors modifying EV release remain partially unknown. By using patient-derived organoids that capture the cellular heterogeneity of epithelial tissu

Externí odkaz: https://doaj.org/article/7e5fc987ea8c43a19c6538d3a6032bcb

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Akademický článek

Fibroblast-Derived Extracellular Vesicles Induce Colorectal Cancer Progression by Transmitting Amphiregulin

Autor: Ádám Oszvald, Zsuzsanna Szvicsek, Márton Pápai, Andrea Kelemen, Zoltán Varga, Tamás Tölgyes, Kristóf Dede, Attila Bursics, Edit I. Buzás, Zoltán Wiener

Publikováno v: Frontiers in Cell and Developmental Biology, Vol 8 (2020)

Extracellular vesicles (EV), structures surrounded by a biological membrane, transport biologically active molecules, and represent a recently identified way of intercellular communication. Colorectal cancer (CRC), one of the most common cancer types

Externí odkaz: https://doaj.org/article/69284aa3791c457e921c4f11c300dedb

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Akademický článek

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