Finite families of forbidden subgraphs for rainbow connection in graphs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43928709" target="_blank" >RIV/49777513:23520/16:43928709 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.disc.2016.02.015" target="_blank" >http://dx.doi.org/10.1016/j.disc.2016.02.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.disc.2016.02.015" target="_blank" >10.1016/j.disc.2016.02.015</a>

Result language
angličtina
Original language name
Finite families of forbidden subgraphs for rainbow connection in graphs
Original language description
A connected edge-colored graph G is rainbow-connected if any two distinct vertices of G are connected by a path whose edges have pairwise distinct colors; the rainbow connection number rc(G) of G is the minimum number of colors such that G is rainbow-connected. We consider families F of connected graphs for which there is a constant k such that, for every connected F-free graph G, rc(G) is at most diam(G)+k, where diam(G) is the diameter of G. In the paper, we finalize our previous considerations and give a complete answer for any finite family F.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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