Geodesic
Note on $k$-chromatic graphs
Mathematica Bohemica, Tome 119 (1994) no. 1, pp. 43-48

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MR Zbl
In this paper we characterize $k$-chromatic graphs without isolated vertices and connected $k$-chromatic graphs having a minimal number of edges.
In this paper we characterize $k$-chromatic graphs without isolated vertices and connected $k$-chromatic graphs having a minimal number of edges.
DOI : 10.21136/MB.1994.126206
Classification : 05C15, 05C40
Keywords: chromatic number; connected graph; colouring of a graph; $k$-chromatic graphs; independent set 
Marcu, Dănuţ. Note on $k$-chromatic graphs. Mathematica Bohemica, Tome 119 (1994) no. 1, pp. 43-48. doi: 10.21136/MB.1994.126206
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[1] C. Berge: Graphes et Hypergraphes. Dunod, Paris, 1970. | MR | Zbl

[2] N. Christofides: Graph Theory - An Algorithmic Approach. Academic Press, New York, 1975. | MR | Zbl

[3] A. Ershov, G. Kuzhukhin: Estimates of the chromatic number of connected graphs. Dokl. Akad. Nauk. 142, 2 (1962), 270-273. (In Russian.) | MR

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