On n-stars in colorings and orientations of graphs
An n-star S in a graph G is the union of geodesic intervals I1,…,Ik with common end O such that the subgraphs I1∖{O},…,Ik∖{O} are pairwise disjoint and l(I1)+…+l(Ik)=n. If the edges of G are oriented, S is directed if each ray Ii is directed. For natural number n,r, we construct a graph G of diam(G)...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2016 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2016
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155731 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On n-stars in colorings and orientations of graphs / I.V. Protasov // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 301-303. — Бібліогр.: 3 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862657602246148096 |
|---|---|
| author | Protasov, I.V. |
| author_facet | Protasov, I.V. |
| citation_txt | On n-stars in colorings and orientations of graphs / I.V. Protasov // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 301-303. — Бібліогр.: 3 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | An n-star S in a graph G is the union of geodesic intervals I1,…,Ik with common end O such that the subgraphs I1∖{O},…,Ik∖{O} are pairwise disjoint and l(I1)+…+l(Ik)=n. If the edges of G are oriented, S is directed if each ray Ii is directed. For natural number n,r, we construct a graph G of diam(G)=n such that, for any r-coloring and orientation of E(G), there exists a directed n-star with monochrome rays of pairwise distinct colors.
|
| first_indexed | 2025-12-02T07:04:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155731 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-02T07:04:00Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Protasov, I.V. 2019-06-17T11:29:56Z 2019-06-17T11:29:56Z 2016 On n-stars in colorings and orientations of graphs / I.V. Protasov // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 301-303. — Бібліогр.: 3 назв. — англ. 1726-3255 2010 MSC:05C55. https://nasplib.isofts.kiev.ua/handle/123456789/155731 An n-star S in a graph G is the union of geodesic intervals I1,…,Ik with common end O such that the subgraphs I1∖{O},…,Ik∖{O} are pairwise disjoint and l(I1)+…+l(Ik)=n. If the edges of G are oriented, S is directed if each ray Ii is directed. For natural number n,r, we construct a graph G of diam(G)=n such that, for any r-coloring and orientation of E(G), there exists a directed n-star with monochrome rays of pairwise distinct colors. I thank Taras Banakh and Oleg Pikhurko for infosupport and discussions roundabout this note. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On n-stars in colorings and orientations of graphs Article published earlier |
| spellingShingle | On n-stars in colorings and orientations of graphs Protasov, I.V. |
| title | On n-stars in colorings and orientations of graphs |
| title_full | On n-stars in colorings and orientations of graphs |
| title_fullStr | On n-stars in colorings and orientations of graphs |
| title_full_unstemmed | On n-stars in colorings and orientations of graphs |
| title_short | On n-stars in colorings and orientations of graphs |
| title_sort | on n-stars in colorings and orientations of graphs |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155731 |
| work_keys_str_mv | AT protasoviv onnstarsincoloringsandorientationsofgraphs |