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Titlebook: Combinatorial Mathematics; Proceedings of the I D. A. Holton,Jennifer Seberry Conference proceedings 1978 Springer-Verlag Berlin Heidelberg

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Sejal V. Jain M.D.,Sanjeev V. Kothare M.D. (or A*) corresponding to F..,F..,...,F... The matrix A (over the real field) is said to have the property P. if and only if every set of t columns of A is linearly independent. In this paper, for all positive integers q, we obtain necessary conditions on A* such that . (N × 2.) submatrix A** in A h
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Near-self-complementary designs and a method of mixed sums,satisfy the relation v=2k, yet for k odd, there are an infinity of parameter sets which cannot be realized as self-complementary designs. For these parameters the idea of near-self-complementary designs is introduced. These designs have many aspects similar to self-complementary designs..An extensio
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,On the linear independence of sets of 2q columns of certain (1, −1) matrices with a group structuremore at a time, where the multiplication is assumed commutative, and where F.=μ (the identity element of G) for all j. The elements of G can be written, in order, as {μ; F., ..., F.; F.F.,F.F.,...,F.F.;F.F.F.,...;F.F. ... F.}. Consider a matrix A(N × 2.) over the real field whose columns correspond
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On the enumeration of certain graceful graphs,th end points labelled 1 and n has no cycle. Let s. and t. denote the numbers of simple graceful graphs and graceful trees on n vertices respectively. Then t.≦s.≦p(A.) where p(A.) is the permanent (plus determinant) of the (n-2)×(n-2) matrix A.=(a.) defined by: . More specifically, let c. denote the
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A note on equidistant permutation arrays,ermutations on . elements, every pair of which is at distance μ. A permutation graph . is a graph with vertex set comprising all permutations on . elements, and edges between each pair of permutations at distance μ. These graphs enable the relevant permutation structure to be visualised; in particul
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The combinatorics of algebraic graph theory in theoretical physics,aphs whose generating functions are the physical quantities under investigation. In statistical mechanics there has recently been a trend towards the use of transformations which reduce the complexity of the graphical enumeration at the expense of an increase in algebraic complexity. A combinatorial
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Graphs, groups and polytopes,ormation of this polytope onto itself. These observations are used to obtain information on the relation between the automorphism group of X and the multiplicities of the eigenvalues of A. This approach yields new results on this topic as well as improvements of previously known ones.
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Literary Self-Assertion and Experimentation with Form: The Narrative Beginnings,cused a little later of following the procedure of mere description in his first novel. In fact, the text of . (.) proves to be a chain of minute descriptions of details and situations, whose factual and contextual coherence is initially not discernible. In particular, the sections “Der Schlüssel” (
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