Diskretnaya Matematika, Tome 4 (1992) no. 2, pp. 99-114
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G. P. Gavrilov; I. A. Muzychuk. On the nonexistence of 4-critical graphs of twelfth order. Diskretnaya Matematika, Tome 4 (1992) no. 2, pp. 99-114. http://geodesic.mathdoc.fr/item/DM_1992_4_2_a11/
@article{DM_1992_4_2_a11,
author = {G. P. Gavrilov and I. A. Muzychuk},
title = {On the nonexistence of 4-critical graphs of twelfth order},
journal = {Diskretnaya Matematika},
pages = {99--114},
year = {1992},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1992_4_2_a11/}
}
TY - JOUR
AU - G. P. Gavrilov
AU - I. A. Muzychuk
TI - On the nonexistence of 4-critical graphs of twelfth order
JO - Diskretnaya Matematika
PY - 1992
SP - 99
EP - 114
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/DM_1992_4_2_a11/
LA - ru
ID - DM_1992_4_2_a11
ER -
%0 Journal Article
%A G. P. Gavrilov
%A I. A. Muzychuk
%T On the nonexistence of 4-critical graphs of twelfth order
%J Diskretnaya Matematika
%D 1992
%P 99-114
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/DM_1992_4_2_a11/
%G ru
%F DM_1992_4_2_a11
The question of the existence of 4-critical (with respect to the edge coloring) graphs with 12 vertices is investigated. It has been proved that such graphs do not exist.