Opuscula Math. 38, no. 6 (2018), 841-847

Opuscula Mathematica

Hubtic number in graphs

Shadi Ibrahim Khalaf
Veena Mathad
Sultan Senan Mahde

Abstract. The maximum order of partition of the vertex set \(V(G)\) into hub sets is called hubtic number of \(G\) and denoted by \(\xi(G)\). In this paper we determine the hubtic number of some standard graphs. Also we obtain bounds for \(\xi(G)\). And we characterize the class of all \((p,q)\) graphs for which \(\xi(G)=p\).

Keywords: hubtic number, hub number, partition.

Mathematics Subject Classification: 05C40, 05C99.

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Cite this article as:
Shadi Ibrahim Khalaf, Veena Mathad, Sultan Senan Mahde, Hubtic number in graphs, Opuscula Math. 38, no. 6 (2018), 841-847, https://doi.org/10.7494/OpMath.2018.38.6.841

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