A note on the Ramsey number and the planar Ramsey number for C₄ and complete graphs
Discussiones Mathematicae. Graph Theory, Tome 19 (1999) no. 2, pp. 135-142
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We give a lower bound for the Ramsey number and the planar Ramsey number for C₄ and complete graphs. We prove that the Ramsey number for C₄ and K₇ is 21 or 22. Moreover we prove that the planar Ramsey number for C₄ and K₆ is equal to 17.
Keywords:
planar graph, Ramsey number
@article{DMGT_1999_19_2_a1,
author = {Bielak, Halina},
title = {A note on the {Ramsey} number and the planar {Ramsey} number for {C₄} and complete graphs},
journal = {Discussiones Mathematicae. Graph Theory},
pages = {135--142},
publisher = {mathdoc},
volume = {19},
number = {2},
year = {1999},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGT_1999_19_2_a1/}
}
TY - JOUR AU - Bielak, Halina TI - A note on the Ramsey number and the planar Ramsey number for C₄ and complete graphs JO - Discussiones Mathematicae. Graph Theory PY - 1999 SP - 135 EP - 142 VL - 19 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGT_1999_19_2_a1/ LA - en ID - DMGT_1999_19_2_a1 ER -
Bielak, Halina. A note on the Ramsey number and the planar Ramsey number for C₄ and complete graphs. Discussiones Mathematicae. Graph Theory, Tome 19 (1999) no. 2, pp. 135-142. http://geodesic.mathdoc.fr/item/DMGT_1999_19_2_a1/