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On some conjectures of Graffiti. (English) Zbl 0887.05017

The computer program Galatea Gabriella Graffiti [S. Fajtlowicz, University of Houston, 1996] made several conjectures concerning the chromatic numbers of graphs. The authors prove one of these conjectures, and disprove four.

MSC:

05C15 Coloring of graphs and hypergraphs

Software:

GRAFFITI
Full Text: DOI

References:

[1] Bollobás, B., Random Graphs (1985), Academic Press: Academic Press London · Zbl 0567.05042
[2] B. Bollobás, O.M. Riordan, Colourings generated by monotone properties, Random Structures and Algorithms, submitted.; B. Bollobás, O.M. Riordan, Colourings generated by monotone properties, Random Structures and Algorithms, submitted.
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[8] Fajtlowicz, S., Written on the Wall, Conjectures made by the program Galatea Gabriella Graffiti (1996), University of Houston
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