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TCS
2016
10 years 15 days ago
Convex p-partitions of bipartite graphs
A set of vertices X of a graph G is convex if no shortest path between two vertices in X contains a vertex outside X. We prove that for fixed p ≥ 1, all partitions of the verte...
Luciano N. Grippo, Martín Matamala, Mart&ia...
TCS
2016
10 years 15 days ago
Hierarchical complexity of 2-clique-colouring weakly chordal graphs and perfect graphs having cliques of size at least 3
A clique of a graph is a maximal set of vertices of size at least 2 that induces a complete graph. A k-clique-colouring of a graph is a colouring of the vertices with at most k co...
Hélio B. Macêdo Filho, Raphael C. S. ...
TCS
2016
10 years 15 days ago
On the state complexity of closures and interiors of regular languages with subwords and superwords
The downward and upward closures of a regular language L are obtained by collecting all the subwords and superwords of its elements, respectively. The downward and upward interior...
Prateek Karandikar, Matthias Niewerth, Philippe Sc...
TCS
2016
10 years 15 days ago
Average-case complexity of the min-sum matrix product problem
rder Abstract Voronoi Diagrams. Cecilia Bohler, Chih-Hung Liu, Evanthia Papadopoulou and Maksym Zavershynskyi 3D rectangulations and geometric matrix multiplication. Peter Floderus...
Ken C. K. Fong, Minming Li, Hongyu Liang, Linji Ya...
TCS
2016
10 years 15 days ago
Card-based protocols for securely computing the conjunction of multiple variables
Consider a deck of real cards with faces that are either black or red and backs that are all identical. Then, using two cards of different colors, we can commit a secret bit to a...
Takaaki Mizuki