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Min-max theorems on feedback vertex setsLi, Yin-chiu., 李燕超. January 2002 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Cliques and independent setsHaviland, Julie Sarah January 1989 (has links)
No description available.
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Restricted edge-colouringsHind, Hugh Robert Faulkner January 1988 (has links)
No description available.
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Finite and infinite extensions of regular graphsGasquoine, Sarah Louise January 1999 (has links)
No description available.
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Simplicial decompositions and universal graphsDiestal, R. January 1986 (has links)
No description available.
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PARTITIONING STRONGLY REGULAR GRAPHS (BALANCED INCOMPLETE BLOCK DESIGNS, ASSOCIATION SCHEMES).GOSSETT, ERIC JAMES. January 1984 (has links)
A strongly regular graph can be design partitioned if the vertices of the graph can be partitioned into two sets V and B such that V is a coclique and every vertex in B is adjacent to the same number of vertices in V. In this case, a balanced incomplete block design can be defined by taking elements of V as objects and elements of B as blocks. Many strongly regular graphs can be design partitioned. The nation of design partitioning is extended to a partitioning by a generalization of block designs called order-free designs. All strongly regular graphs can be partitioned via order-free designs. Order-free designs are used to show the nonexistence of a strongly regular graph with parameters (50,28,18,12). The existence of this graph was previously undecided. A computer algorithm that attempts to construct the adjacency matrix of a strongly regular graph (given a suitable order-free design) is presented. Two appendices related to the algorithm are included. The first lists all parameter sets (n,a,c,d) with n ≤ 50 and a ≠ d that satisfy the standard feasibility conditions for strongly regular graphs. Additional information is included for each set. The second appendix contains adjacency matrices (with the partitioning by cocliques and order-free designs exhibited) for most of the parameter sets in the first appendix. The theoretical development is presented in the context of association schemes. Partitioning by order-free designs extends naturally to any association scheme when cocliques are generalized to {Ø,i} -cliques. This extended partitioning is applied to generalized hexagons.
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On decomposition of complete infinite graphs into spanning treesKing, Andrew James Howell January 1990 (has links)
No description available.
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158 |
Edge-colouring and I-factors in graphsLienart, Emmanuelle Anne Sophie January 2000 (has links)
No description available.
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Methods for solving the set covering and set partitioning problems using graph theoretic (relaxation) algorithmsEl-Darzi, E. January 1988 (has links)
No description available.
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Colourings, complexity, and some related topicsSanchez-Arroyo, Abdon January 1991 (has links)
No description available.
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