this paper presents the application of the matching pursuit method to model synchronous generator. this method is useful for online analysis. in the proposed method, the field voltage is considered as input signal, while the terminal voltage and active power of the generator are output signals. usually, the difference equation with a second degree polynomial structure is used to estimate the co...

in this paper, by using a new approach on distance between two fuzzy numbers, we construct a new ranking system for fuzzy number which is very realistic and also matching our intuition as the crisp ranking system on r.

Let M, N be two matchings on [2n] (possibly M = N) and for an integer l ≥ 0 let T (M, l) be the set of those matchings on [2n + 2l] which can be obtained from M by successively adding l times in all ways the first edge, and similarly for T (N, l). Let s, t ∈ {cr, ne} where cr is the statistic of the number of crossings (in a matching) and ne is the statistic of the number of nestings (possibly ...

We consider, for complete bipartite graphs, the convex hulls of characteristic vectors of matchings, extended by a binary number indicating whether the matching contains two specific edges. This polytope is associated to the quadratic matching problem with a single linearized quadratic term. We provide a complete irredundant inequality description, which settles a conjecture by Klein (Ph.D. the...

For a given graph H and n¿ 1, let f(n; H) denote the maximum number m for which it is possible to colour the edges of the complete graph Kn with m colours in such a way that each subgraph H in Kn has at least two edges of the same colour. Equivalently, any edge-colouring of Kn with at least rb(n; H) = f(n; H) + 1 colours contains a rainbow copy of H . Erdős, Simonovits and S6 os have determined...

For any posotive integer m, let [m] := {1, . . . ,m}. Let n, k, t be positive integers. Aharoni and Howard conjectured that if, for i ∈ [t], Fi ⊂ [n] := {(a1, . . . , ak) : aj ∈ [n] for j ∈ [k]} and |Fi| > (t−1)n, then there exist M ⊆ [n] such that |M | = t and |M ∩ Fi| = 1 for i ∈ [t] We show that this conjecture holds when n ≥ 3(k − 1)(t− 1). Let n, t, k1 ≥ k2 ≥ . . . ≥ kt be positive integer...