Abstract. The use of the method based on the multipath routing organization for secure routing in mobile networks is quite efficient. In this paper, the method of plurality generation of safest ways is proved, which allows reducing the time complexity of the plurality of the safest ways formation algorithm due to the operations on the set of vertices and their neighborhood.

Selected combinations from three or more light excitation wavelengths are serially impinged on a sample based on an encoding pattern. A plurality of spectra is detected from the sample responsive to respective ones of the selected combinations of light excitation wavelengths. A shifted Raman excitation spectral component and a nonshifted spectral component characteristic of the sample are ident...

We consider an axiomatic characterization of the plurality rule, which selects the alternative(s) most preferred by the largest number of individuals. We strengthen the characterization result of Yeh (Economic Theory 34: 575–583, 2008) by replacing efficiency axiom by the weaker axiom called faithfulness. Formally, we show that the plurality rule is the only rule satisfying anonymity, neutralit...