scholarly journals Isospectral graph reductions and improved estimates of matrices’ spectra

2012 ◽  
Vol 437 (7) ◽  
pp. 1429-1457 ◽  
Author(s):  
L.A. Bunimovich ◽  
B.Z. Webb
Keyword(s):  
Graph Reductions

scholarly journals Control flow graphs and code coverage

2010 ◽  
Vol 20 (4) ◽  
pp. 739-749 ◽  
Author(s):  
Robert Gold
Keyword(s):  
Directed Graphs ◽  
Control Flow ◽  
Code Coverage ◽  
Branch Coverage ◽  
Formal Basis ◽  
Graph Reductions ◽  
Flow Graphs ◽  
Edge Coverage

Control flow graphs and code coverageThe control flow of programs can be represented by directed graphs. In this paper we provide a uniform and detailed formal basis for control flow graphs combining known definitions and results with new aspects. Two graph reductions are defined using only syntactical information about the graphs, but no semantical information about the represented programs. We prove some properties of reduced graphs and also about the paths in reduced graphs. Based on graphs, we define statement coverage and branch coverage such that coverage notions correspond to node coverage, and edge coverage, respectively.

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