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» The convexity spectra of graphs
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SDM
2009
SIAM
152views Data Mining» more  SDM 2009»
15 years 7 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
15 years 3 months 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
15 years 4 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»
14 years 9 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»
14 years 8 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...