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She reviews the status of a number of interrelated problems on diameters of graphs, including: (i) degree/diameter problem, (ii) order/degree problem, (iii) given n, D, D 0 ,
We remark that there is a related well-known problem: do there exist compact anti-self-dual Einstein manifolds with negative scalar curvature, besides hyperbolic and
On the other hand, from physical arguments, it is expected that asymptotically in time the concentration approach certain values of the minimizers of the function f appearing in
In [9] a free energy encoding marked length spectra of closed geodesics was introduced, thus our objective is to analyze facts of the free energy of herein comparing with the
classes of harmonic functions are introduced and mixed Zaremba’s bound- ary value problem is studed in them, i.e., the problem of constructing a harmonic function when on a part of
σ(L, O) is a continuous function on the space of compact convex bodies with specified interior point, and it is also invariant under affine transformations.. The set R of regular
In this section we state our main theorems concerning the existence of a unique local solution to (SDP) and the continuous dependence on the initial data... τ is the initial time of
A Darboux type problem for a model hyperbolic equation of the third order with multiple characteristics is considered in the case of two independent variables.. In the class