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We show that 3-connected cubic bipartite planar graphs with fewer than 66 vertices are Hamiltonian. 相似文献
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It is known that a Markov map T of the unit interval preservesa measure µ, say, equivalent to Lebesgue measure, andthat almost every point of the interval has a forward orbitunder T that is uniformly distributed with respect to µ.In the opposite direction the main result of this paper statesthat there is a set of points having Hausdorff dimension 1 whoseforward orbits are in a certain sense very far from being sodistributed. 1991 Mathematics Subject Classification: 58F08,28A80. 相似文献
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Given five edges in a 3-connected cubic graph there are obvious reasons why there may not be one cycle passing through all of them. For instance, an odd subset of the edges may form a cutset of the graph. By restricting the sets of five edges in a natural way we are able to give necessary and sufficient conditions for the set to be a subset of edges of some cycle. It follows as a corollary that, under suitable restrictions, any five edges of a cyclically 5-edge connected cubic graph lie on a cycle. 相似文献
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A cubic graph which is cyclicallyk-edge connected and has the further property that every edge belongs to some cyclick-edge cut is called uniformly cyclicallyk-edge connected(U(k)). We classify theU(5) graphs and show that all cyclically 5-edge connected cubic graphs can be generated from a small finite set ofU(5) graphs by a sequence of defined operations.MATHDAHCOTAGE.AC.NZ 相似文献
69.
One electron oxidation of the plant growth substance 3,6-dihydroxypyridazine (maleic hydrazide) gives a cyclic α-carbonylhydrazyl, the e.s.r. parameters of which are assigned by comparison with five related radicals. 相似文献
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