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Facial parity edge colouringCzap, Július ; Jendrol', Stanislav ; Kardoš, FrantišekA facial parity edge colouring of a connected bridgeless plane graph is an edge colouring in which no two face-adjacent edges (consecutive edges of a facial walk of some face) receive the same ... colour, in addition, for each face $\alpha$ and each colour $c$, either no edge or an odd number of edges incident with $\alpha$ is coloured with $c$. From Vizing's theorem it follows that every 3-connected plane graph has a such colouring with at most $\Delta^\ast + 1$ colours, where $\Delta^\ast$ is the size of the largest face. In this paper we prove that any connected bridgeless plane graph has a facial parity edge colouring with at most 92 colours.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 4, no. 2, 2011, str. 255-268)Type of material - article, component partPublish date - 2011Language - englishCOBISS.SI-ID - 16267097
Author
Czap, Július |
Jendrol', Stanislav |
Kardoš, František
Topics
teorija grafov |
ravninski grafi |
barvanje povezav |
graph theory |
plane graphs |
facial walk |
edge colouring
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Czap, Július | ![]() |
Jendrol', Stanislav | ![]() |
Kardoš, František | ![]() |
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