Generalised colouring sums of graphs

Abstract : The notion of the b-chromatic number of a graph attracted much research interests and recently a new concept, namely the b-chromatic sum of a graph, denoted by φ′(G), has also been introduced. Motivated by the studies on b-chromatic sum of graphs, in this paper we introduce certain new parameters such as χ-chromatic sum, χ+-chromatic sum, b+-chromatic sum, π-chromatic sum and π+-chromatic sum of graphs. We also discuss certain results on these parameters for a selection of standard graphs.
Document type :
Journal articles
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02263314
Contributor : Sudev Naduvath <>
Submitted on : Sunday, August 4, 2019 - 5:32:21 AM
Last modification on : Tuesday, August 6, 2019 - 1:01:23 AM

File

1. Generalised colouring sums ...
Publisher files allowed on an open archive

Identifiers

Collections

Citation

Johan Kok, Sudev Naduvath, K. P. Chithra. Generalised colouring sums of graphs. Cogent Mathematics & Statistics, Taylor & Francis, 2016, 3 (1), pp.1140002. ⟨10.1080/23311835.2016.1140002⟩. ⟨hal-02263314⟩

Share

Metrics

Record views

4

Files downloads

2