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cs.DM2021
Isometric Hamming embeddings of weighted graphs
Joseph Berleant, Kristin Sheridan, Anne Condon +2
A mapping from the vertex set of one graph to another graph is an isometric embedding if the shortest path distance between any two vertices in equal…
cs.DS2021
Factorization and pseudofactorization of weighted graphs
Kristin Sheridan, Joseph Berleant, Mark Bathe +2
For unweighted graphs, finding isometric embeddings is closely related to decompositions of into Cartesian products of smaller graphs. When is isomorphic to a Cartesian gra…
q-bio.QM2021★ 1 cited
The pathway elaboration method for mean first passage time estimation in large continuous-time Markov chains with applications to nucleic acid kinetics
Sedigheh Zolaktaf, Frits Dannenberg, Mark Schmidt +2
For predicting the kinetics of nucleic acid reactions, continuous-time Markov chains (CTMCs) are widely used. The rate of a reaction can be obtained through the mean first passage…