— We discuss a framework for defining physical open systems on higher-dimensional complexes. We start with the formalization of the dynamics of open electrical circuits and the ...
Graphs are widely used for modeling complicated data, including chemical compounds, protein interactions, XML documents, and multimedia. Information retrieval against such data ca...
Haoliang Jiang, Haixun Wang, Philip S. Yu, Shuigen...
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Microfluidics-based biochips offer exciting possibilities for highthroughput sequencing, parallel immunoassays, blood chemistry for clinical diagnostics, DNA sequencing, and envir...