Báo cáo toán học: "On the reflexivity of C {1 } contractions and weak

Báo cáo toán học: "On the reflexivity of C_{1.} contractions and weak contractions " pdf

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Báo cáo toán học: "On the Graphs of Hoﬀman-Singleton and Higman-Sims" docx

... a passant of P (cf. end of Section 5);4. all other adjacencies in G, apart from the 5-cycles within each of V0, ,V3, describeincidences.Proof. It suﬃces to indicate a proof of the ﬁrst ... adjacent to X ∈F2if and only if v ∈ X.(3) Each coclique in Fi,i {1, 2}, contains 15 vertices of H, and each vertex of H iscontained in 15 cocliques of Fi.Proof. For (1), recall the deﬁnition ... Since eachparallel class of lines is a 5-cycle, there can be at most two elements of each class in acoclique. In particular, C must contain at least 5 points and at least 5 lines. the electronic...

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Báo cáo toán học: "On the weakly closed algebra generated by a weak contraction " pdf

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Báo cáo toán học: "Maximising the permanent of (0,1)-matrices and the number of extensions of Latin rectangles" docx

... C 4.ThenE(R)=E(R)+Ip0i≥2pai=E(R)+2Ii≥2pai>E(R).Which means that G(R) consists entirely of C 4’s and C 6’s. To complete the proof of the theorem it suﬃces to show that (for n ≥ 8) replacing 2C 6by 3C 4will increase the number of extensions. ... n)bemaximising and suppose G(R) consists of c cycles C 2a1 ,C 2a2, ,C 2a c . Clearly n =ai and ρG(R),x=pai, and we may suppose for convenience that the aiare arrangedin non-increasing ... the electronic journal of combinatorics 5 (1998), #R11 17Now for speci c values of m and k, the bound in (20) can be explicitly calculated, as canIλS0ρ(S, x), because we know...

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Báo cáo toán học: " On the boundedness of the solutions in nonlinear discrete Volterra difference equations" pot

... Thus, the conditions of Theorem 3.1 hold, and the initial vector x0belongs to S, and hence the solution x(n; x0) of (1.1) and (1.2) is bounded.We consider the scalar case of Volterra diﬀerence ... a suﬃcient, as well as a necessary and suﬃcient, condition for the boundedness of all solutions of (1.1) and the scalar case of (1.1), respectively. The next result provides a suﬃcient condition ... R+, 0 ≤ j ≤ n and p ∈ (0, 1). The following result provides a necessary and suﬃcient condition for the boundedness of the solution of (4.4) and (4.5). The necessary part of the next theorem was...