A set S of edge-disjoint hamilton cycles in a graph G is said to be maximal if the edges in the hamilton cycles in S induce a subgraph H of G such that G EðHÞ contains no hamilton cycles. In this context, the spectrum SðGÞ of a graph G is the set of integersm such that G contains a maximal set of m edge-disjoint hamilton cycles. This spectrum has

We study the spectrum of multipliers (bounded operators commuting with the shift operator S) on a Banach space E of sequences on Z. Given a multiplier M , we prove that f M(σ(S)) ⊂ σ(M) where f M is the symbol of M . We obtain a similar result for the spectrum of an operator commuting with the shift on a Banach space of sequences on Z. We generalize the results for multipliers on Banach spaces ...

The spectrum of a first-order sentence is the set of cardinalities of its finite models. This paper is concerned with spectra of sentences over languages that contain only unary function symbols. In particular, it is shown that a set S of natural numbers is the spectrum of a sentence over the language of one unary function symbol precisely if S is an eventually periodic set.

Fixed wireless access has the unrealized potential to play a major role in the adoption of broadband in the U. S. We conduct a case study of the feasibility of business in a suburban U. S. community and conclude that with a preference for the use of licensed spectrum, such a small scale, grass roots business would be feasible. This opens the question of promoting the economic availability of li...

In this work, we construct 36 tetraquark configurations for the $1S$-, $1P$-, and $2S$-wave states, make a prediction of mass spectrum $ss\overline{s}\overline{s}$ system in framework nonrelativistic potential quark model without diquark-antidiquark approximation. The parameters are well determined by our previous study strangeonium spectrum. We find that resonances ${f}_{0}(2200)$ ${f}_{2}(234...

In this work, we construct 36 tetraquark configurations for the $1S$-, $1P$-, and $2S$-wave states, make a prediction of mass spectrum $ss\overline{s}\overline{s}$ system in framework nonrelativistic potential quark model without diquark-antidiquark approximation. The parameters are well determined by our previous study strangeonium spectrum. We find that resonances ${f}_{0}(2200)$ ${f}_{2}(234...