Cyclic matrices of weighted digraphs

DOI10.1016/j.dam.2011.09.005zbMath1237.05094OpenAlexW2057741994MaRDI QIDQ765371

Ricardo Riaza

Publication date: 19 March 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://oa.upm.es/10285/

zbMATH Keywords

cycle basisalgebraic equationmemristordifferentialelectrical circuitweighted digraphcycle matrixloop analysis

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22)

Related Items

Transcritical Bifurcation without Parameters in Memristive Circuits ⋮ DAEs in Circuit Modelling: A Survey

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classes of cycle bases
• Numerical solution of differential algebraic Riccati equations
• Augmented nodal matrices and normal trees
• Minimum cut bases in undirected networks
• A note on fundamental, non-fundamental, and robust cycle bases
• Graph theory applications
• CAD-based electric-circuit modeling in industry. I: Mathematical structure and index of network equations
• CAD-based electric-circuit modeling in industry. II: Impact of circuit configurations and parameters
• Differential algebraic systems anew
• Topological index calculation of differential-algebraic equations in circuit simulation
• EXPLICIT ODE REDUCTION OF MEMRISTIVE SYSTEMS
• The hyperbolicity problem in electrical circuit theory
• Circuit synthesis of passive descriptor systems-a modified nodal approach
• Index characterization of differential-algebraic equations in hybrid analysis for circuit simulation
• HOPF BIFURCATION FROM LINES OF EQUILIBRIA WITHOUT PARAMETERS IN MEMRISTOR OSCILLATORS
• IMPLEMENTING MEMRISTOR BASED CHAOTIC CIRCUITS
• Matrix Analysis
• Structural analysis of electric circuits and consequences for MNA
• On Vector Spaces Associated with a Graph
• Semistate models of electrical circuits including memristors
• MEMRISTOR CELLULAR AUTOMATA AND MEMRISTOR DISCRETE-TIME CELLULAR NEURAL NETWORKS
• MEMRISTOR OSCILLATORS
• Tractability index of hybrid equations for circuit simulation
• Algorithms - ESA 2003