14th British Combinatorial Conference
University of Keele, 5-9 July 1993

Contributed talks:

  • T. Adelgren, Triangle-free Eulerian tours in graphs with maximum degree 4
  • F. Aguiló (speaker) and M. A. Fiol, An efficient algorithm to find optimal double loop networks
  • A. Ainouche (speaker) and I. Schiermeyer, Neighbourhood intersections and Hamiltonicity
  • L. D. Andersen (speaker), H. Fleischner and S. Regner, A-trails in outerplane Eulerian graphs
  • I. Anderson, Cyclic triplewhist tournaments for 4n+1 players
  • M. Anthony (speaker), G. Brightwell and C. Cooper, On the Vapnik-Chervonenkis dimension of a graph
  • R. A. Bailey, A Howell design admitting A5
  • C. Balbuena (speaker), A. Carmona and M. A. Fiol, On digraphs with given sequences of distance connectivities
  • S. Ball, Blocking sets in finite planes
  • J. Bang-Jensen, Linking problems for quasi-transitive graphs
  • S. G. Barwick (speaker) and C. M. O'Keefe, Unitals and inversive planes
  • L. M. Batten, Blocking sets in PBDs [2,4,1;v]
  • B. Bauslaugh, Cores and compactness of infinite graphs
  • F. K. Bell (speaker) and P. Rowlinson, Certain graphs without zero as an eigenvalue
  • J. Bierbrauer, Universal hashing, geometric codes, orthogonal arrays
  • N. L. Biggs, The icosian calculus- then and now
  • S. Bitan (speaker) and T. Etzion, The last packing number of quadruples and cyclic SQS
  • R. Bodendiek, On labellings of parachutes
  • A. Bonisoli, On sharply transitive 1-factorizations of Kn
  • P. Bonizzoni, Minimal indecomposable graphs
  • C. P. Bonnington, Geodesics in infinite transitive graphs
  • A. Bowler, The fixed points of an automorphism of a symmetric design
  • R. Brewster, Homomorphisms of edge-coloured graphs to cycles
  • M. R. Brito, Census of graphs without perfect matching
  • I. Broere (speaker), M. Frick, G. Benadé and B. Jonck, Uniquely (m,k)-colourable graphs I
  • H. J. Broersma (speaker), A. S. Hasratian, J. van den Heuvel and H. J. Veldman, Graphs satisfying a local Ore-type condition
  • A. E. Brouwer, Bounding the diameter of homogeneous graphs
  • M. Buratti, Simple radical difference families in Galois fields
  • P. J. Cameron, The random graph revisited
  • A. Carmona (speaker), M. C. Balbuena and M. A. Fiol, Maximally distance connected digraphs and bipartite digraphs
  • D. V. Chopra, On arrays with some combinatorial structure
  • E. J. Cockayne, On a Nordhaus-Gaddum type problem for independent domination
  • F. P. Comellas (speaker), M. A. Fiol and J. Gómez, Large vertex symmetric 2-reachable digraphs
  • P. Cowling, Strong total colouring numbers of complete hypergraphs
  • D. Cvetkovic (speaker) and S. Simic, On graphs whose second largest eigenvalue does not exceed (sqrt(5) - 1)/2
  • J. A. Davis, Nonexistence of partial difference sets in abelian p-groups
  • U. Dempwolff, Translation planes of order 27
  • J. Dunbar, Nearly perfect sets in graphs
  • S. Easton, Some necessary conditions for the degree sequence of a highly irregular graph
  • M. Escudero (speaker), J. Fàbrega and J. Gómez, Edge-colourings of some graphs on alphabets and compound graphs
  • M. Espona-Dones (speaker), J. M. Brunat, M. A. Fiol and O. Serra, On Cayley line digraphs
  • D. Fon-der-Flaass (speaker), M. Axenovitch and A. Kostochka, Set systems without weak 3-\Delta-subsystems
  • K. Fraughnaugh, Size in maximal triangle-free graphs and minimal graphs of diameter two
  • M. Frick, G. Benadé, I. Broere and B. Jonck, Uniquely (m,k)-colourable graphs II
  • C.-M. Fu, Graph transformations which preserve the multiplicity of an eigenvalue
  • H.-L. Fu, On the upper embeddability of diameter three graphs
  • V. Giakoumakis (speaker) and J. L. Fouquet, On semi-sparse Graphs I
  • S. W. Golomb (speaker) and H. Y. Song, Cyclic Hadamard difference sets- a status report
  • S. J. Goodall, The number of posets of width two
  • L. Gordeev, Strong well-quasi-ordering tree theorems
  • M. J. Grannell (speaker), T. S. Griggs and E. Mendelsohn, A small basis for four-line configurations in Steiner triple systems
  • T. S. Griggs, Continuity of Mendelsohn and Steiner triple systems
  • H. Gropp, On orbital matrices
  • G. Gutin (speaker), J. Bang-Jensen and J. Huang, A sufficient condition for a complete multipartite digraph to be Hamiltonian
  • W. H. Haemers (speaker) and M. J. Coster, Quasi-symmetric designs related to the triangular graph
  • R.H. Häggkvist (speaker) and A. Johansson, (1,2)-factorizations of general Eulerian nearly regular graphs
  • F. Harary, Destroying the automorphisms of a graph by orientations
  • H. Harborth, Cube graph Ramsey numbers
  • E. R. Harzheim, On weakly arithmetic progressions
  • M. A. Henning, Majority domination in graphs
  • J. van den Heuvel (speaker) and R. J. Faudree, Degree sums, factors, and cycles in graphs
  • R. Hill (speaker), E. R. Berlekamp and J. P. Karim, Searching with lies the Ulam problem
  • J. W. P. Hirschfeld, The combinatorics of finite planes
  • S. A. Hobart, Krein conditions for coherent configurations
  • C. Hoede, Graphs and games
  • S. C. Hoggar, Faster fractal pictures by finite fields
  • Jing Huang (speaker), J. Bang-Jensen and G. Gutin, Weakly Hamiltonian-connected ordinary multipartite tournaments
  • A. Huck, On cycle-double-covers of some graphs
  • R. Hughes Jones, Enumerating uniform polyhedral surfaces with triangular faces
  • D. Jennings, On packings of squares and rectangles
  • M. Jimbo, A Hadamard tournament and three person tournament games
  • B. Jones, Balanced neighbour designs in circular blocks of equal and unequal designs
  • L. K. Jørgensen, Cayley digraphs with certain properties
  • A. D. Keedwell (speaker) and G. Sittampalam, Critical sets and critical partial latin squares
  • G. B. Khosrovshahi, "Trading Signed Design" algorithm and some new designs
  • G. Y. Kiss (speaker) and J. W. P. Hirschfeld, On cyclic sets in PG(2,4) without tangents
  • S. Klavzar, Coloring graph products and graph bundles
  • J. Koolen (speaker) and S. V. Shpectorov, Distance-regular graphs of negative type
  • G. Korchmáros, A generalization of a theorem by B. Segre
  • E. Kubicka, Fast algorithms for all trees with an application to designing and evaluation of hierarchical networks
  • G. Kubicki, Agreement subtrees, metrics and consensus for labelled binary trees
  • J.D. Lamb, Cubic digraphs containing coenergy covers - a conjecture
  • M. Lewin, On the sparsity of imprimitive matrices
  • R. P. Lewis, A combinatorial proof of a theorem about ranks
  • E. K. Lloyd, Polygonal systems
  • J. R. Lundgren, Inverting competition graphs
  • G. MacGillivray, Hereditarily hard H-colouring problems
  • E. S. Mahmoodian (speaker) and M. Mirzakhani, Decomposition of complete tripartite graphs into pentagons
  • M. Mehbali, Algebraic computational complexity
  • R. Mesliulam, Discrete uncertainty inequalities
  • K. Metsch, Twisted derivations (covering the same pairs of points with distinct sets of lines)
  • J. W. Moon (speaker) and A. Meir, On path entropy functions for rooted trees
  • H. M. Mulder, The median procedure
  • X. Muñoz, Diameter of the surviving route digraph in l-geodetic digraphs and graphs
  • C. Mynhardt (speaker), E. J. Cockayne, G. Fricke and S. T. Hedetniemi, Extremum aggregates of hypergraph functions: existence and interpolation theorems
  • C. St. J. A. Nash-Williams, Strongly connected mixed graphs and connected detachments of graphs
  • M. Noy, Counting triangulations of non-convex polygons
  • S. Oates-Williams (speaker) and D. Bryant, Mendelsohn designs associated with certain idempotent quasigroups
  • P. Östergård, New constructions for q-ary covering codes
  • P. J. Owens, Non-Hamiltonicity for regular graphs
  • C. Padró (speaker) and P. Morillo, Diameter-vulnerability of iterated line digraphs
  • K. C. Paterson (speaker) and M. J. B. Robshaw, Decoding a class of de Bruijn sequences
  • R. Peeters, Uniqueness of strongly regular graphs with minimal p-rank
  • D. A. Preece, Partitioning 7 x 7 latin squares into Youden squares
  • K. A. S. Quinn, Bounds for key distribution patterns
  • R. C. Read (speaker) and R. J. Wilson, The making of "An Atlas of Graph Theory"
  • F. Rivera-Campo, A note on spanning trees with bounded degree
  • C. A. Rodger (speaker) and E. B. Wantland, Embedding edge-colourings into k-factorisations
  • Y. Roditty (speaker), Y. Caro and J. Schönheim, On colored designs
  • Z. Ryjácek (speaker), H. J. Broersma and I. Schiermeyer, Toughness and Hamiltonicity in almost claw-free graphs
  • A. Sánchez-Arroyo, A new bound for total colouring
  • E. R. Scheinerman (speaker) and H. Wilf, The rectilinear crossing number of a graph and Sylvester's four point problem
  • I. Schiermeyer, Insertible vertices, neighborhood intersections and Hamiltonicity
  • J. Schönheim, On sets of pairwise non-coprime divisors of a number
  • K. Seyffarth, Domination numbers of planar graphs
  • A. Shastri, Bandwidth of graphs
  • R. Shaw, The Klein quadric, Conwells heptads (and more)- all inside the Fano 7-point plane
  • E. Simó (speaker) and J. L. A. Yebra, Vulnerability of the diameter of odd graphs
  • D. Singmaster, Sliding block puzzles
  • D. H. Smith, Cut sets and network reliability
  • A. Soleev (speaker) and A. D. Bruno, Ordering in complicated problems and Newton polyhedra
  • H. C. Swart, Relations between distance domination parameters of high integrity
  • H. J. Thuillier (speaker), D. Delamare and J. L. Fouquet, Linear-k-arboricity of cubic graphs
  • E. Triesch, On the recognition complexity of some graph properties
  • Z. Tuza, Covering and independence for complete subgraphs
  • J. Ueberberg, Interactive theorem proving and symbolic incidence geometry
  • K. Ushio, S5 factorization of complete bipartite graphs
  • H. J. Veldman, When are Hamiltonian line graphs pancyclic?
  • P. D. Vestergaard (speaker) and B. Zelinka, Domination in graphs
  • B. J. Vowden, Graeco-Latin squares with embedded balanced superimpositions of Youden rectangles
  • C. D. Wakelin, The chromatic polynomial relative to the complete graph basis
  • J. J. Watkins, A Proof of Petersen's theorem on 1-factors in cubic graphs
  • B. Webb, Cycle decompositions of automorphisms of finite incidence structures
  • D. B. West, Two problems on acyclic orientations
  • J. West (speaker) and N. Ray, On a poset of permutation matrices
  • C. Whitehead, Techniques for constructing well-covered graphs with no 4-cycles
  • E. C. Whitehead, Chromaticity of K4 homeomorphs
  • P. R. Wild, Some families of semibiplanes
  • R. Wilson, Renaissance combinatorics
  • N. Wormald, Differential equations for random graph processes
  • J. L. Yucas, Some constructions from PG(3,2)
  • P. H. Zieschang, Structure theory of association schemes

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