PROJECTIONS OF BOUQUET GRAPH WITH TWO CYCLES

Title & Authors
PROJECTIONS OF BOUQUET GRAPH WITH TWO CYCLES
Huh, Young-Sik;

Abstract
In this paper we investigate the projections of bouquet graph B with two cycles. A projection of B is said to be trivial if only trivial embeddings are obtained from the projection. It is shown that, to cover all nontrivial projections of B, at least three embeddings of B are needed. We also show that a nontrivial projection of B is covered by one of some two embeddings if the image of each cycle has at most one self-crossing.
Keywords
projection of graph;embedding of graph;bouquet graph;
Language
English
Cited by
1.
AN ELEMENTARY SET FOR EMBEDDED BOUQUET GRAPHS WITH TWO CYCLES, Journal of Knot Theory and Its Ramifications, 2011, 20, 02, 305
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