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» The convexity spectra of graphs
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SDM
2009
SIAM
152views Data Mining» more  SDM 2009»
14 years 4 months ago
Non-negative Matrix Factorization, Convexity and Isometry.
In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data...
Nikolaos Vasiloglou, Alexander G. Gray, David V. A...
GBRPR
2005
Springer
14 years 28 days ago
Towards Unitary Representations for Graph Matching
In this paper we explore how a spectral technique suggested by quantum walks can be used to distinguish non-isomorphic cospectral graphs. Reviewing ideas from the field of quantum...
David Emms, Simone Severini, Richard C. Wilson, Ed...
COCOON
2009
Springer
14 years 2 months ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...
DCG
2000
84views more  DCG 2000»
13 years 7 months ago
Convex and Linear Orientations of Polytopal Graphs
This paper examines directed graphs related to convex polytopes. For each fixed d-polytope and any acyclic orientation of its graph, we prove there exist both convex and concave fu...
J. Mihalisin, Victor Klee
SIAMDM
2010
130views more  SIAMDM 2010»
13 years 5 months ago
On the Hull Number of Triangle-Free Graphs
A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest conve...
Mitre Costa Dourado, Fábio Protti, Dieter R...