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Vertex insertion approximates the crossing number of apex graphs

✍ Scribed by Markus Chimani; Petr Hliněný; Petra Mutzel


Book ID
113582396
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
273 KB
Volume
33
Category
Article
ISSN
0195-6698

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The vertex-face total chromatic number o
✍ Lam, Peter C. B.; Zhang, Zhongfu 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 69 KB 👁 2 views

In this paper, we shall first prove that for a Halin graph G, 4 °xT (G) °6, where x T (G) is the vertex-face total chromatic number of G. Second, we shall establish a sufficient condition for a Halin graph to have a vertex-face total chromatic number of 6. Finally, we shall give a necessary and suff