Refine Results
Sort By
From
To
Page 1
Page 1
Comparative genomics : Methods and protocols
Provides new and updated chapters covering computational and mathematical techniques and concepts related to the field of comparative genomics. The topics covered in the chapters range from those that address general techniques and concepts that apply to all organisms to others that are specialized and apply to specific biological systems such as viruses, bacteria, nematodes, and insects.
Laplacian Eigenvectors of Graphs : Perron-Frobenius and Faber-Krahn Type Theorems
Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) "Geometric" properties of (cost) functions defined on the vertex sets of graphs are of practical interest for heuristic optimization algorithms. The observation that the cost functions of quite a few of the well-studied combinatorial optimization problems are eigenvectors of associated graph Laplacians has prompted the investigation of such eigenvectors.
