On n-stars in colorings and orientations of graphs

An \(n\)-star \(S\) in a graph \(G\) is the union of geodesic intervals \(I _{1} , \ldots , I _{k} \) with common end \(O\) such that the subgraphs \(I_{ 1}\setminus\{O\}, \ldots , I _{k}\setminus\{O\}\) are pairwise disjoint and \(l(I _{1}) +\ldots + l(I _{k})= n.\) If the edges of \(G\) are orient...

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Bibliographic Details
Date:2016
Main Author: Protasov, Igor Vladimirovich
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/308
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics