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MB-Homogeneous graphs and some new HH-homogeneous graphs
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SYSNO ASEP 0508591 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title MB-Homogeneous graphs and some new HH-homogeneous graphs Author(s) Aranda, A. (DE)
Hartman, David (UIVT-O) RID, SAI, ORCIDSource Title Acta Mathematica Universitatis Comenianae. - : Univerzita Komenského v Bratislave - ISSN 0231-6986
Roč. 88, č. 3 (2019), s. 383-387Number of pages 5 s. Publication form Print - P Action EUROCOMB 2019. European Conference on Combinatorics, Graph Theory and Applications /9./ Event date 26.08.2019 - 30.08.2019 VEvent location Bratislava Country SK - Slovakia Event type EUR Language eng - English Country SK - Slovakia Keywords homomorphism-homogenity ; MB-Homogeneous ; graph independence ; Rado graph ; classification ; Fraisse limit Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Open access Institutional support UIVT-O - RVO:67985807 UT WOS 000484349000005 EID SCOPUS 85073329984 Annotation We present a result showing that any countably infinite HH-homo\-geneous graph that does not contain the Rado graph as a spanning subgraph has finite independence numbe - from this we derive a classification of MB-homogeneous graphs. Additionally, we present constructions that yield new HH-homogeneous graphs. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2020 Electronic address http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1253/670
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