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COMBINATORICS
2006
15 years 6 months ago
2006
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
172
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IPM
2006
15 years 6 months ago
2006
In this paper we present a theoretical model for understanding the performance of Latent Semantic Indexing (LSI) search and retrieval applications. Many models for understanding L...
138
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MCS
2007
Springer
15 years 6 months ago
2007
Springer
In this short note, we revisit the so-called Ermakov–Pinney (EP) equation viewing its properties from a physically motivated perspective. We discuss its ties with the Schr¨odin...
162
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JSC
2010
15 years 4 months ago
2010
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
146
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MICS
2010
15 years 4 months ago
2010
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by the multiplicities of any of its parametrizations. We give an intersection-theoret...