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Multisensor Data Fusion, 2 Volume Set (Electrical Engineering & Applied Signal Processing Series)

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Algebraic Structure Theory of Sequential Machines

Hartmanis, J. ; Stearns, R. E. - Algebraic constitution concept of Sequential Machines Na Angliiskom Iazyke. writer: . yr: 1966. position: . Pages: Hardcover

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Furthermore, we denote by δ + (S) = (P2) for all v ∈ V (TD ) \ {r}, there exists a directed {(i, j) ∈ A ∪ Ar | i ∈ S, j ∈ V \ S} and δ − (S) = {(i, j) ∈ path r → v in TD , and A ∪ Ar | i ∈ V \ S, j ∈ S} the outgoing and ingoing edges of a set S, respectively. We can give the following (P3) for all v ∈ V (TD ) \ {r}, v has in-degree 1 in TD . 1) a∈A of G by two arcs (i, j) and (j, i), introduce an artiﬁcial root vertex r and connect r to every node in V . 2) x(δ − (S)) ≥ yv ∀S ⊆ V \ {r}, ∀v ∈ S A = {(i, j), (j, i) | {i, j} ∈ E} and Ar = {(r, j) | j ∈ V }.

Delling and D. Wagner. Landmark-Based Routing in Dynamic Graphs. In Demetrescu , pages 52–65.  C. Demetrescu, editor. Proceedings of the 6th Workshop on Experimental Algorithms (WEA’07), volume 4525 of Lecture Notes in Computer Science. Springer, June 2007.  C. Demetrescu, A. V. Goldberg, and D. S. Johnson, editors. 9th DIMACS Implementation Challenge Shortest Paths, November 2006.  E. W. Dijkstra. A Note on Two Problems in Connexion with Graphs. Numerische Mathematik, 1:269–271, 1959.

D. Schultes and P. Sanders. Dynamic Highway-Node Routing. In Demetrescu , pages 66–79. R. D. Team. R: A Language and Environment for Statistical Computing, 2004. D. Wagner and T. Willhalm. Speed-Up Techniques for Shortest-Path Computations. In Proceedings of the 24th International Symposium on Theoretical Aspects of Computer Science (STACS’07), Lecture Notes in Computer Science, pages 23–36. Springer, February 2007.  D. Wagner, T. Willhalm, and C. Zaroliagis. Geometric Containers for Eﬃcient Shortest-Path Computation.