Academic Journal
Upper Bounds on the Average Number of Colors in the Non-equivalent Colorings of a Graph
| العنوان: | Upper Bounds on the Average Number of Colors in the Non-equivalent Colorings of a Graph |
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| المؤلفون: | Hertz, Alain, Mélot, Hadrien, Bonte, Sébastien, Devillez, Gauvain, Hauweele, Pierre |
| المساهمون: | S825 - Algorithmique, Complexys, Infortech |
| المصدر: | Graphs and Combinatorics, 39 (49) (2023-04-15) |
| بيانات النشر: | Springer |
| سنة النشر: | 2023 |
| مصطلحات موضوعية: | Average number of colors, Graph coloring, Graphical Bell numbers, Theoretical Computer Science, Discrete Mathematics and Combinatorics, Physical, chemical, mathematical & earth Sciences, Mathematics, Physique, chimie, mathématiques & sciences de la terre, Mathématiques |
| الوصف: | peer reviewed ; A coloring of a graph is an assignment of colors to its vertices such that adjacent vertices have different colors. Two colorings are equivalent if they induce the same partition of the vertex set into color classes. Let A(G) be the average number of colors in the non-equivalent colorings of a graph G. We give a general upper bound on A(G) that is valid for all graphs G and a more precise one for graphs G of order n and maximum degree Δ (G) ∈ { 1 , 2 , n- 2 }. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 0911-0119 |
| Relation: | https://link.springer.com/content/pdf/10.1007/s00373-023-02637-9.pdf; urn:issn:0911-0119; https://orbi.umons.ac.be/handle/20.500.12907/48153; info:hdl:20.500.12907/48153 |
| DOI: | 10.1007/s00373-023-02637-9 |
| الاتاحة: | https://orbi.umons.ac.be/handle/20.500.12907/48153 https://hdl.handle.net/20.500.12907/48153 https://orbi.umons.ac.be/bitstream/20.500.12907/48153/1/s00373-023-02637-9.pdf https://doi.org/10.1007/s00373-023-02637-9 |
| Rights: | open access ; http://purl.org/coar/access_right/c_abf2 ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.C79FA546 |
| قاعدة البيانات: | BASE |
| تدمد: | 09110119 |
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| DOI: | 10.1007/s00373-023-02637-9 |