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» Constructing a Class of Symmetric Graphs
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TIT
1998
127views more  TIT 1998»
13 years 8 months ago
On a New Class of Codes for Identifying Vertices in Graphs
—We investigate a new class of codes for the optimal covering of vertices in an undirected graph Gsuch that any vertex in G can be uniquely identified by examining the vertices ...
Mark G. Karpovsky, Krishnendu Chakrabarty, Lev B. ...
COCOC
1995
150views Combinatorics» more  COCOC 1995»
14 years 4 min ago
On Central Spanning Trees of a Graph
We consider the collection of all spanning trees of a graph with distance between them based on the size of the symmetric difference of their edge sets. A central spanning tree o...
Sergei L. Bezrukov, Firoz Kaderali, W. Poguntke
CSL
2007
Springer
14 years 2 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby
COCO
2005
Springer
130views Algorithms» more  COCO 2005»
13 years 10 months ago
Pseudorandom Bits for Constant Depth Circuits with Few Arbitrary Symmetric Gates
We exhibit an explicitly computable ‘pseudorandom’ generator stretching l bits into m(l) = lΩ(log l) bits that look random to constant-depth circuits of size m(l) with log m...
Emanuele Viola
COMPGEOM
2010
ACM
14 years 1 months ago
Constructing Reeb graphs using cylinder maps
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. In this video, we describe a near-optimal output-sensitive algorithm for computing ...
Harish Doraiswamy, Aneesh Sood, Vijay Natarajan