Sarmin, Nor Haniza Non-commuting graphs of some finite P-groups. In: International Science Postgraduate Conference 2012 (ISPC 2012).
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Abstract
Let G be a metacyclic p-group and Z(G) be its center. The non-commuting graph ΓG of a metacyclic p-group G is defined as the graph whose vertex set is G-Z(G) and two distinct vertices x and y are connected by an edge if and only if [x, y] ≠ 1. It is proved that the clique number and chromatic number of graph ΓG associated with the metacyclic p-group G are identical.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| ID Code: | 34149 |
| Deposited By: | Liza Porijo |
| Deposited On: | 21 Aug 2017 08:25 |
| Last Modified: | 21 Aug 2017 08:25 |
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