## Centre for Discreteand Applicable Mathematics |

## Mathematics Preprint Series 1991 |

If you would like a free copy of any of these reports, please send the number of the report you require, together with your name and postal address to:

CDAM Research Reports Series Centre for Discrete and Applicable Mathematics London School of Economics Houghton Street London WC2A 2AE, U.K. |
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Phone: +44(0)-171-955 7494.Fax: +44(0)-171-955 6877.Email: info@maths.lse.ac.uk |

LSE-MPS-1 | Representations of Planar GraphsGraham R. Brightwell and Edward R. Scheinerman |

LSE-MPS-2 | On Deviation of Relative Frequencies From ProbabilitiesMartin Anthony |

LSE-MPS-3 | Möbius and the Development of Topology in the Nineteenth
CenturyNorman Biggs |

LSE-MPS-4 | Theoretical and Practical Studies of a Competitive Learning
ProcessN.L. Biggs, G.R. Brightwell, and D. Tsoubelis |

LSE-MPS-5 | Interval Orders and Linear Extension CyclesGraham Brightwell, Peter C. Fishburn, and Peter Winkler |

LSE-MPS-6 | Combinatorial Proofs of the Conley-Zehnder-Franks Theorem on a Fixed
Point for Torus HomeomorphismsSteve Alpern and V.S. Prasad |

LSE-MPS-7 | Almost Periodic Ergodic R-Homeomorphisms^{n}Steve Alpern |

LSE-MPS-8 | Introduction to Computational Learning Theory IMartin Anthony and Norman Biggs |

LSE-MPS-9 | The Order Dimension of Convex PolytopesGraham Brightwell and William T. Trotter |

LSE-MPS-10 | Endvertex-deleted SubgraphsJosef Lauri |

LSE-MPS-11 | Uniform Convergence and LearnabilityMartin Anthony |

LSE-MPS-12 | Ergodic Homeomorphisms of Compact Manifolds with Prescribed Rotation
VectorsS. Alpern and V.S. Prasad |

LSE-MPS-13 | Paths through Specified VerticesSarah Goodall |

LSE-MPS-14 | The Mean Chromatic Number of Paths and CyclesMartin Anthony and Norman Biggs |

LSE-MPS-15 | Linear Extensions of Random OrdersGraham Brightwell |

LSE-MPS-16 | The Height of a Random Partial Order: Concentration of
MeasureBelá Bollobás and Graham Brightwell |

LSE-MPS-17 | On the Fractional Dimension of Partial OrdersGraham R. Brightwell and Edward R. Scheinerman |

LSE-MPS-18 | A Result of Vapnik with ApplicationsMartin Anthony and John Shawe-Taylor |

LSE-MPS-19 | Stationary Equilibria for Deterministic Graphical GamesSteve Alpern |

LSE-MPS-20 | Typical Recurrence for Lifts of Mean Rotation Zero Annulus
HomeomorphismsSteve Alpern and V.S. Prasad |

LSE-MPS-21 | Learning Algorithms - Theory and PracticeNorman L. Biggs |

LSE-MPS-22 | Paths Through Specified Vertices in Connected GraphsSarah Goodall |

LSE-MPS-23 | Ramsey Properties of Orientations of GraphsG.R. Brightwell and Y. Kohayakawa |

LSE-MPS-24 | Positive solutions of a certain second order difference
equationA.J. Ostaszewski |

LSE-MPS-25 | The Métro Problem: Fare Classes and Crowding
EquilibriaSteve Alpern and Diane J. Reyniers |

Introduction to the CDAM Research Report Series. | ||

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