MAS/MaxST admits an FPT algorithm for integer weights and an XP algorithm for rational weights ≥1, both finding acyclic subgraphs of weight at least MaxST(G)+k.
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Two constrained recognition problems for oriented interval graphs are solved in linear time, improving a prior quadratic algorithm and solving the proper/unit case.
OEH is a unified index that supports subsumption order-testing and index-resident monoid roll-up on poset hierarchies via nested-set embeddings for trees or chain decomposition for low-width DAGs.
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Exploiting Spanning Trees for Directed Acyclicity
MAS/MaxST admits an FPT algorithm for integer weights and an XP algorithm for rational weights ≥1, both finding acyclic subgraphs of weight at least MaxST(G)+k.
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Towards the Recognition of Oriented Interval Graphs
Two constrained recognition problems for oriented interval graphs are solved in linear time, improving a prior quadratic algorithm and solving the proper/unit case.
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One Index for Subsumption and Roll-up across Time, Geography, and Ontology
OEH is a unified index that supports subsumption order-testing and index-resident monoid roll-up on poset hierarchies via nested-set embeddings for trees or chain decomposition for low-width DAGs.