Star-Forest Decompositions of Complete Graphs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10491476" target="_blank" >RIV/00216208:11320/24:10491476 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-63021-7_10" target="_blank" >https://doi.org/10.1007/978-3-031-63021-7_10</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-63021-7_10" target="_blank" >10.1007/978-3-031-63021-7_10</a>
Alternative languages
Result language
angličtina
Original language name
Star-Forest Decompositions of Complete Graphs
Original language description
We deal with the problem of decomposing a complete geometric graph into plane star-forests. In particular, we disprove a recent conjecture by Pach, Saghafian and Schnider by constructing for each n a complete geometric graph on n vertices which can be decomposed into [n/2] + 1 plane star-forests. Additionally we prove that for even n, every decomposition of a complete abstract graph on n vertices into n/2 + 1 star-forests is composed of a perfect matching and n/2 star-forests with two edge-balanced components, which we call broken double stars.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GX23-04949X" target="_blank" >GX23-04949X: Fundamental questions of discrete geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
COMBINATORIAL ALGORITHMS, IWOCA 2024
ISBN
978-3-031-63020-0
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
12
Pages from-to
126-137
Publisher name
SPRINGER INTERNATIONAL PUBLISHING AG
Place of publication
CHAM
Event location
Ischia
Event date
Jul 1, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001282050500010