Bhargava, S. and Adiga, C. and Somashekara, D. D.
(1993)
*Three-square theorem as an application of Andrews' identity.*
Fibonacci Quarterly, 31 (2).
pp. 129-133.

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## Abstract

For a graph G=G(V,E), a set S⊂V is k-independent if every component in the induced subgraph on S has order at most k−1. The general chromatic number χk(G) of G is the minimum order n of a partition P of the set V such that each set Vi in P is k-independent. This paper develops properties of χk(G) which generalize well-known properties of the chromatic number. Kk+1-free graphs G with χk(G)=n are constructed, and critical and minimal graphs are explored.

Item Type: | Article |
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Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | Users 23 not found. |

Date Deposited: | 05 May 2021 05:23 |

Last Modified: | 08 Jul 2022 07:39 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/16313 |

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