Fractal property of the graph homomorphism order

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10366638" target="_blank" >RIV/00216208:11320/17:10366638 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.ejc.2017.06.017" target="_blank" >http://dx.doi.org/10.1016/j.ejc.2017.06.017</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ejc.2017.06.017" target="_blank" >10.1016/j.ejc.2017.06.017</a>

Result language

angličtina

Original language name

Fractal property of the graph homomorphism order

Original language description

We show that every interval in the homomorphism order of finite undirected graphs is either universal or a gap. Together with density and universality this &quot;fractal&quot; property contributes to the spectacular properties of the homomorphism order. We first show the fractal property by using Sparse Incomparability Lemma and then by a more involved elementary argument.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

European Journal of Combinatorics

ISSN

0195-6698

e-ISSN

—

Volume of the periodical

66

Issue of the periodical within the volume

Prosinec

Country of publishing house

GB - UNITED KINGDOM

Number of pages

9

Pages from-to

101-109

UT code for WoS article

000411777600010

EID of the result in the Scopus database

2-s2.0-85028354608