This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Let G = V; E be a graph. The linear-width of G is de ned as the smallest integer k such that E can be arranged in a linear ordering e1; : : : ; er such that for every i = 1; :...
A circular-arc model M = (C, A) is a circle C together with a collection A of arcs of C. If no arc is contained in any other then M is a proper circular-arc model, if every arc has...
Min Chih Lin, Francisco J. Soulignac, Jayme Luiz S...
Classes of graphs with bounded expansion have been introduced in [15], [12]. They generalize both proper minor closed classes and classes with bounded degree. For any class with b...
Recently lexicographic breadth first search (LexBFS) has been shown to be a very powerful tool for the development of linear time, easily implementable recognition algorithms for v...
Anna Bretscher, Derek G. Corneil, Michel Habib, Ch...