- Title Pages
- Illustration
- PREFACE
- <b>LIST OF CONTRIBUTORS</b>
- 1 ORBIT COUNTING AND THE TUTTE POLYNOMIAL
- 2 EULERIAN AND BIPARTITE ORIENTABLE MATROIDS
- 3 TUTTE-WHITNEY POLYNOMIALS: SOME HISTORY AND GENERALIZATIONS
- 4 A SURVEY ON THE USE OF MARKOV CHAINS TO RANDOMLY SAMPLE COLOURINGS
- 5 TOWARDS A MATROID-MINOR STRUCTURE THEORY
- 6 RANDOM PLANAR GRAPHS WITH GIVEN AVERAGE DEGREE
- 7 FOURIER ANALYSIS ON FINITE ABELIAN GROUPS: SOME GRAPHICAL APPLICATIONS
- 8 FLOWS AND FERROMAGNETS
- 9 APPROXIMATING THE TUTTE POLYNOMIAL
- 10 NON-SEPARATING CIRCUITS AND COCIRCUITS IN MATROIDS
- 11 EXPANDING THE TUTTE POLYNOMIAL OF A MATROID OVER THE INDEPENDENT SETS
- 12 CONNECTION MATRICES
- 13 COMPLEXITY OF GRAPH POLYNOMIALS
- 14 RANDOM PLANAR GRAPHS AND THE NUMBER OF PLANAR GRAPHS
- 15 THE CONTRIBUTIONS OF DOMINIC WELSH TO MATROID THEORY
- 16 ON THE UNKNOTTING PROBLEM
- 17 ADVANCES ON THE ERDŐS–FABER–LOVÁSZ CONJECTURE
- 18 STOCHASTIC SET-BACKS
- Index
NON-SEPARATING CIRCUITS AND COCIRCUITS IN MATROIDS
NON-SEPARATING CIRCUITS AND COCIRCUITS IN MATROIDS
- Chapter:
- (p.162) 10 NON-SEPARATING CIRCUITS AND COCIRCUITS IN MATROIDS
- Source:
- Combinatorics, Complexity, and Chance
- Author(s):
Bráulio Maia Junior
Manoel Lemos
Tereza R. B. Melo
- Publisher:
- Oxford University Press
This chapter surveys results about non-separating circuits and cocircuits in graphs and matroids. Some conjectures and open problems are presented.
Keywords: non-separating circuits, cocircuits, matroids
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- Title Pages
- Illustration
- PREFACE
- <b>LIST OF CONTRIBUTORS</b>
- 1 ORBIT COUNTING AND THE TUTTE POLYNOMIAL
- 2 EULERIAN AND BIPARTITE ORIENTABLE MATROIDS
- 3 TUTTE-WHITNEY POLYNOMIALS: SOME HISTORY AND GENERALIZATIONS
- 4 A SURVEY ON THE USE OF MARKOV CHAINS TO RANDOMLY SAMPLE COLOURINGS
- 5 TOWARDS A MATROID-MINOR STRUCTURE THEORY
- 6 RANDOM PLANAR GRAPHS WITH GIVEN AVERAGE DEGREE
- 7 FOURIER ANALYSIS ON FINITE ABELIAN GROUPS: SOME GRAPHICAL APPLICATIONS
- 8 FLOWS AND FERROMAGNETS
- 9 APPROXIMATING THE TUTTE POLYNOMIAL
- 10 NON-SEPARATING CIRCUITS AND COCIRCUITS IN MATROIDS
- 11 EXPANDING THE TUTTE POLYNOMIAL OF A MATROID OVER THE INDEPENDENT SETS
- 12 CONNECTION MATRICES
- 13 COMPLEXITY OF GRAPH POLYNOMIALS
- 14 RANDOM PLANAR GRAPHS AND THE NUMBER OF PLANAR GRAPHS
- 15 THE CONTRIBUTIONS OF DOMINIC WELSH TO MATROID THEORY
- 16 ON THE UNKNOTTING PROBLEM
- 17 ADVANCES ON THE ERDŐS–FABER–LOVÁSZ CONJECTURE
- 18 STOCHASTIC SET-BACKS
- Index
