Linear rank-width of distance-hereditary graphs. I. A polynomial-time algorithm

DOI10.1007/s00453-016-0164-5zbMath1361.05036arXiv1403.1081OpenAlexW2963991780WikidataQ59889091 ScholiaQ59889091MaRDI QIDQ527431

O-joung Kwon, Mamadou Moustapha Kanté, Isolde Adler

Publication date: 11 May 2017

Published in: Algorithmica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1081

zbMATH Keywords

distance-hereditary graphslinear rank-widthrank-widthmatroid branch-widthmatroid path-widthvertex-minors

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Graph theory (including graph drawing) in computer science (68R10) Paths and cycles (05C38) Combinatorial aspects of matroids and geometric lattices (05B35) Graph minors (05C83) Distance in graphs (05C12)

Related Items

Linear rank-width of distance-hereditary graphs II. vertex-minor obstructions ⋮ A single-exponential fixed-parameter algorithm for distance-hereditary vertex deletion ⋮ An FPT algorithm and a polynomial kernel for linear rankwidth-1 vertex deletion ⋮ Graphs of bounded depth‐2 rank‐brittleness ⋮ Twin-distance-hereditary digraphs ⋮ A polynomial kernel for distance-hereditary vertex deletion ⋮ Tree Pivot-Minors and Linear Rank-Width

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