Special subdivisions ofK
4 and 4-chromatic graphs |
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Authors: | Uffe Krusenstjerna-Hafstrøm Dr Bjarne Toft |
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Institution: | (1) Department of Mathematics, University of Odense, DK-5320 Odense M., Denmark |
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Abstract: | In this paper we consider special subdivisions ofK
4 in which some of the edges are left undivided. A best possible extremal-result for the case where the edges of a Hamiltonian path are left undivided is obtained. Moreover special subdivisions as subgraphs of 4-chromatic graphs are studied. Our main-result on 4-chromatic graphs says that any 4-critical graphG contains an odd cycleC without diagonals such thatG-V (C) is connected. |
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