Title :
Enumerating all the spanning trees in an un-oriented graph - A novel approach
Author :
Onete, Cristian E. ; Onete, Maria Cristina C
Author_Institution :
IP&L Dept., NXP Semicond., Eindhoven, Netherlands
Abstract :
In this paper, we use a modified version of the incidence matrix of an un-oriented graph so as to enumerate all the spanning trees. In particular, we formally describe the problem and then enumerate the spanning trees, also Showing how to use this method in finding the symbolic determinant of a passive circuit.
Keywords :
directed graphs; passive networks; trees (mathematics); incidence matrix; passive circuit; spanning trees; symbolic determinant; unoriented graph; Admittance; Algorithm design and analysis; Circuit synthesis; Complexity theory; Conferences; Integrated circuit modeling; Passive circuits; determinant; passive circuit; spanning trees; symbolic;
Conference_Titel :
Symbolic and Numerical Methods, Modeling and Applications to Circuit Design (SM2ACD), 2010 XIth International Workshop on
Conference_Location :
Gammath
Print_ISBN :
978-1-4244-6816-4
DOI :
10.1109/SM2ACD.2010.5672365