Total chromatic number of graphs of odd order and high degree (Q1301827)
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scientific article; zbMATH DE number 1334675
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total chromatic number of graphs of odd order and high degree |
scientific article; zbMATH DE number 1334675 |
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Total chromatic number of graphs of odd order and high degree (English)
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12 September 1999
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It is proved that if a simple graph \(G\) has odd order \(|V(G)|\), minimum degree \(\delta(G)\) and \(r(G)\) vertices of maximum degree \(\Delta(G)\) such that \(\Delta(G)+ \delta(G)\geq 3/2 |V(G)|+ r(G)+ 5/2\), then \(\chi_T(G)= \Delta(G)+ 1\), where \(\chi_T(G)\) is the total chromatic number of \(G\).
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total chromatic number
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