Table of Contents

Title Page

About the HTML Version

Acknowledgements
List of Figures
List of Tables

Introduction

Chapter 1: Even Cycles in Directed Graphs
Introduction
Walks, Trails, and Cycles
Connectivity Results
Even Digraphs
Restricted Versions
Conclusion

Chapter 2: L-Matrices and Sign-solvability
Introduction
Sign-solvability
L-matrices
S-matrices
Recognition
Cycles in Matrices
Signed Digraphs
Conclusion

Chapter 3: Beyond
Introduction
Balanced Labellings
Distinguished Vertices
Permanents
Pfaffian Orientations
Interval Matrices
Cone-Systems
Open Problems
Conclusion

Bibliography

Appendix A: Computational Complexity

Appendix B: Directed Graph Theory

Appendix C: Relatives of the Even Cycle Problem
Polynomial-Time (P) Problems
NP-Complete (NPC) Problems
NP-Hard Problems
The Even Cycle Problem and Equivalent Ones