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IJCNN
2008
IEEE
15 years 6 months ago
On the sample mean of graphs
— We present an analytic and geometric view of the sample mean of graphs. The theoretical framework yields efficient subgradient methods for approximating a structural mean and ...
Brijnesh J. Jain, Klaus Obermayer
CORR
2012
Springer
200views Education» more  CORR 2012»
13 years 7 months ago
Harmonic evolutions on graphs
We define the harmonic evolution of states of a graph by iterative application of the harmonic operator (Laplacian over Z2). This provides graphs with a new geometric context and...
Jerzy Kocik
IWVF
2001
Springer
15 years 4 months ago
A Skeletal Measure of 2D Shape Similarity
This paper presents a geometric measure that can be used to gauge the similarity of 2D shapes by comparing their skeletons. The measure is defined to be the rate of change of bou...
Andrea Torsello, Edwin R. Hancock
CORR
2008
Springer
71views Education» more  CORR 2008»
14 years 12 months ago
Subclose Families, Threshold Graphs, and the Weight Hierarchy of Grassmann and Schubert Codes
Abstract. We discuss the problem of determining the complete weight hierarchy of linear error correcting codes associated to Grassmann varieties and, more generally, to Schubert va...
Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. ...
ENTCS
2002
105views more  ENTCS 2002»
14 years 11 months ago
Fixed points in digital topology (via Helly posets)
Abstract. We extend some of our previous results on fixed points of graph multifunctions to posets. The posets of most interest here are the (finite) Khalimsky spaces, in their spe...
Rueiher Tsaur, Michael B. Smyth