Please use this identifier to cite or link to this item: https://rsuir-library.rsu.ac.th/handle/123456789/2490
Title: Research Project Report (k,t)-choosability of graphs
Other Titles: การระบายสีแบบ (k,t) ของกราฟ
Authors: Wongsakorn Charoenpanitser
Keywords: Graph theory -- Research;Computer graphics -- Research
Issue Date: 2014
Publisher: Research Institute of Rangsit University
metadata.dc.description.other-abstract: A (k, t)-list assignment L of a graph G is a mapping which assigns a set of size k to each vertex v of G and |Sv∈V (G) L(v)| = t. A graph G is (k, t)-choosable if G has a proper coloring f such that f(v) ∈ L(v) for each (k, t)-list assignment L. In 2011, Charoenpanitseri, Punnim and Uiyyasathian gave a characterization of (k, t)-choosability of n-vertex graphs when t ≥ kn − k2 − 2k + 1 and left open problems when t ≤ kn − k2 − 2k Recently, Ruksasakchai and Nakprasit obtain the results when t = kn − k2 − 2k. In this research report, we extend the results to case t = kn − k2 − 2k − 1.
URI: https://rsuir-library.rsu.ac.th/handle/123456789/2490
metadata.dc.type: Other
Appears in Collections:ICT-Research

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