Excluded-minor characterizations of antimatroids arisen from posets and graph searches
Copyright policy )Excluded-minor characterizations of antimatroids arisen from posets and graph searches
Four classes of antimatroids, each closed under taking minors, are studied, and they are characterized by excluded minors. Three particular antimatroids, denoted \(D_5\), \(S_5\), and \(S_{10}\) (where in each case the subscript indicates the cardinality of the underlying set) are given. It is shown that the antimatroids not having \(S_7\) as a minor are the ``poset shelling antimatroids''; those with \(D_5\) excluded are the ``node search antimatroids of rooted digraphs''; those with \(S_7\) and \(D_5\) excluded are the ``node search antimatroids of rooted directed trees''; and those with \(D_5\) and \(S_{10}\) excluded are the ``node search antimatroids of rooted undirected graphs.''
- University of Tokyo Japan
antimatroid, excluded minor, Poset, Antimatroid, Graph node-search, Applied Mathematics, Discrete Mathematics and Combinatorics, Excluded-minor, node search, Combinatorial aspects of matroids and geometric lattices, poset shelling
antimatroid, excluded minor, Poset, Antimatroid, Graph node-search, Applied Mathematics, Discrete Mathematics and Combinatorics, Excluded-minor, node search, Combinatorial aspects of matroids and geometric lattices, poset shelling
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!