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Falmagne recently introduced the concept of a medium, a combinatorial object encompassing hyperplane arrangements, topological orderings, acyclic orientations, and many other familiar structures. We find efficient solutions for several algorithmic problems on media: finding short reset sequences, shortest paths, testing whether a medium has a closed orientation, and listing the states of a medium given a black-box description.
12 pages
Reset sequences, graph algorithms, FOS: Computer and information sciences, shortest paths, Applied Mathematics, Shortest paths, media theory, Graph algorithms (graph-theoretic aspects), Computer Science - Data Structures and Algorithms, Media theory, Discrete Mathematics and Combinatorics, Data Structures and Algorithms (cs.DS), F.2.2, Graph algorithms, Paths and cycles, reset sequences, Partial cubes, partial cubes
Reset sequences, graph algorithms, FOS: Computer and information sciences, shortest paths, Applied Mathematics, Shortest paths, media theory, Graph algorithms (graph-theoretic aspects), Computer Science - Data Structures and Algorithms, Media theory, Discrete Mathematics and Combinatorics, Data Structures and Algorithms (cs.DS), F.2.2, Graph algorithms, Paths and cycles, reset sequences, Partial cubes, partial cubes
citations 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). | 13 | |
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). | Top 10% | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |