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Báo cáo khoa học: The restricted arc-width of a graph
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An arc-representation of a graph is a function mapping each vertex in the graph to an arc on the unit circle in such a way that adjacent vertices are mapped to intersecting arcs. The width of such a representation is the maximum number of arcs passing through a single point. The arc-width of a graph is defined to be the minimum width over all of its arc-representations. We extend the work of Bar´at and Hajnal on this subject and develop a generalization we call restricted arcwidth. Our main results revolve around using this to bound arc-width from below and to examine the effect of several graph operations...
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