We present a linear-time algorithm to decide whether a given k-connected graph has bandwidth k, where k is a fixed positive integer. This improves the general O(n(k))-time-algorithm of Gurari and Sudborough, based on a dynamic programming approach of Saxe, for the recognition of bandwidth-k graphs on n vertices in the special case of connectivity k.
机构:
St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University, St. PetersburgSt.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University, St. Petersburg
机构:
Inst Basic Sci IBS, Discrete Math Grp, 55 Expo Ro, Daejeon 34126, South KoreaInst Basic Sci IBS, Discrete Math Grp, 55 Expo Ro, Daejeon 34126, South Korea
Gollin, J. Pascal
Heuer, Karl
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Tech Univ Denmark, Dept Appl Math & Comp Sci, Richard Petersens Plads,Bldg 322, DK-2800 Lyngby, DenmarkInst Basic Sci IBS, Discrete Math Grp, 55 Expo Ro, Daejeon 34126, South Korea