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- W2911469591 abstract "This chapter presents the bipartite generalizations of triangulated graphs according to two important properties: perfect elimination and chordality. Although these notions do not coincide in the general setting, both notions do extend certain aspects of triangulated graphs. Perfect elimination bipartite graphs correctly model the application to Gaussian elimination with no fill-in. Chordal bipartite graphs satisfy the separation theorems analogous to those of Dirac. Alan Hoffman and Michel Sakarovich have recently discovered that the chordal bipartite graphs give a characterization of the matrices in an important class of linear programming problems for which the greedy heuristic approach gives an optimum solution." @default.
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- W2911469591 date "1980-01-01" @default.
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- W2911469591 title "Perfect Gaussian Elimination" @default.
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- W2911469591 doi "https://doi.org/10.1016/b978-0-12-289260-8.50019-4" @default.
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