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Circular flows on signed graphs / by Michael Schubert ; Adviser: Prof. Dr. Eckhard Steffen. Paderborn, 2018
Content
Contents
List of Figures
Introduction
Preliminaries
Basic Definitions
Contribution of the thesis
State of the art
Motivation
Flow and Coloring Duality
Relations between the circular flow number and the integer flow number
The difference between Fc((G,)) and F((G,))
Some sufficient conditions for "4264306 Fc((G,))"5265307 = F((G,))
Flows on signed regular graphs
Preface
Smallest possible flow numbers of signed (2t+1)-regular graphs
r-minimal sets
The flow spectrum of cubic graphs
The set of circular flow numbers of regular graphs
Circular flow numbers of d-regular graphs
Proof of Theorem 5.1.2
Flows and orientations
Flows and signed circuits
Characterization of flows
Conclusion
Details
A graph (G,) with F((G,)) = 6
Bibliography
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