Download Topics in Theoretical Computer Science: The First IFIP WG by Mohammed Taghi Hajiaghayi, Mohammad Reza Mousavi PDF

By Mohammed Taghi Hajiaghayi, Mohammad Reza Mousavi

This e-book constitutes the completely refereed post-conference court cases of the 1st IFIP WG 1.8 overseas convention on themes in Theoretical laptop technology, held in Tehran, Iran, in August 2015.

the ten complete papers offered including three invited talks have been conscientiously reviewed and chosen from forty eight submissions. The papers characteristic novel and fine quality study in all components of theoretical laptop science.

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References 1. : Searching in the plane. Inf. Comput. 106(2), 234–252 (1993) 2. : LR-visibility in polygons. Comput. Geom. 7(1), 37–57 (1997) 3. : Counting targets with mobile sensors in an unknown environment. , Kubiak, P. ) ALGOSENSORS 2007. LNCS, vol. 4837, pp. 32–45. Springer, Heidelberg (2008) 4. : Visibility Algorithms in the Plane. Cambridge University Press, Cambridge (2007) 5. : An optimal competitive strategy for walking in streets. , Tison, S. ) STACS 1999. LNCS, vol. 1563, pp. 110–120.

Proof. (Sketch). To prove this, we show that if C distinguishes G from H, it provides a winning strategy for Spoiler in the 2k-pebble bijection game played on G and H, which guarantees a win in at most kd moves, where d is the depth 26 A. Dawar of the circuit C. Specifically, Spoiler plays by maintaining a pointer to a gate g of C and a bijection α : V (G) → [n] between the vertices of G and [n] so that the following conditions are satisfied in any game position (¯ u, v¯) that arises in the game: – α(¯ u) includes the support of g; and u) = v¯, we have Cg (α(G)) = – for any bijection β : V (H) → [n] such that β −1 α(¯ Cg (β(H)).

Symmetric Circuits. We start with a brief introduction to the formalism of circuit complexity. A language L ⊆ {0, 1}∗ can be described as a family of Boolean functions: (fn )n∈ω : {0, 1}n → {0, 1}. Each fn can be represented by a circuit Cn which is a directed acyclic graph where we think of the vertices as gates suitably labeled by Boolean operators ∧, ∨, ¬ for the internal gates and by inputs x1 , . . , xn for the gates without incoming edges. One gate is distinguished as determining the output.

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