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CORR
2008
Springer
92views Education» more  CORR 2008»
14 years 16 days ago
Discrete Jordan Curve Theorem: A proof formalized in Coq with hypermaps
This paper presents a formalized proof of a discrete form of the Jordan Curve Theorem. It is based on a hypermap model of planar subdivisions, formal specifications and proofs assi...
Jean-François Dufourd
CORR
2008
Springer
108views Education» more  CORR 2008»
14 years 16 days ago
Tight Bounds for Blind Search on the Integers
We analyze a simple random process in which a token is moved in the interval A = {0, . . . , n}: Fix a probability distribution
Martin Dietzfelbinger, Jonathan E. Rowe, Ingo Wege...
CORR
2008
Springer
152views Education» more  CORR 2008»
14 years 16 days ago
An Improved Randomized Truthful Mechanism for Scheduling Unrelated Machines
We study the scheduling problem on unrelated machines in the mechanism design setting. This problem was proposed and studied in the seminal paper of Nisan and
Pinyan Lu, Changyuan Yu
CORR
2008
Springer
131views Education» more  CORR 2008»
14 years 16 days ago
Deterministically Isolating a Perfect Matching in Bipartite Planar Graphs
We present a deterministic way of assigning small (log bit) weights to the edges of a bipartite planar graph so that the minimum weight perfect matching becomes unique. The isolati...
Samir Datta, Raghav Kulkarni, Sambuddha Roy
CORR
2008
Springer
107views Education» more  CORR 2008»
14 years 16 days ago
On Dynamic Breadth-First Search in External-Memory
We provide the first non-trivial result on dynamic breadth-first search (BFS) in external-memory: For general sparse undirected graphs of initially n nodes and O(n) edges and monot...
Ulrich Meyer
CORR
2008
Springer
74views Education» more  CORR 2008»
14 years 16 days ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
CORR
2008
Springer
112views Education» more  CORR 2008»
14 years 16 days ago
Analytic aspects of the shuffle product
There exist very lucid explanations of the combinatorial origins of rational and algebraic functions, in particular with respect to regular and context free languages. In the searc...
Marni Mishna, Mike Zabrocki
CORR
2008
Springer
101views Education» more  CORR 2008»
14 years 16 days ago
Sublinear Communication Protocols for Multi-Party Pointer Jumping and a Related Lower Bound
We study the one-way number-on-the-forehead (NOF) communication complexity of the k-layer pointer jumping problem with n vertices per layer. This classic problem, which has connec...
Joshua Brody, Amit Chakrabarti
CORR
2008
Springer
75views Education» more  CORR 2008»
14 years 16 days ago
Stackelberg Network Pricing Games
Patrick Briest, Martin Hoefer, Piotr Krysta
CORR
2008
Springer
107views Education» more  CORR 2008»
14 years 16 days ago
On Termination for Faulty Channel Machines
A channel machine consists of a finite controller together with several fifo channels; the controller can read messages from the head of a channel and write messages to the tail of...
Patricia Bouyer, Nicolas Markey, Joël Ouaknin...