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» Constructing a Class of Symmetric Graphs
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TIT
1998
127views more  TIT 1998»
14 years 11 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»
15 years 3 months 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
15 years 6 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»
15 years 1 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
15 years 4 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