Mrvar and Doreian recently defined a notion of bipartite clustering in bipartite signed graphs that gives a measure of imbalance of the signed graph, different from previous measures (the “frustration index” or “line index of balance”, l, and Davis’s clusterability). A biclustering of a bipartite signed graph is a pair (π1, π2) of partitions of the two color classes; the sets of the partitions ...

By utilizing the interference between an absorptive resonance and an amplifying resonance, one can achieve an enhanced refractive index without an increase in absorption to the beam. We analyze noise added to the beam due to spontaneous emission while propagating through such an index enhanced medium. We find that, for a medium with a refractive index of n and of length L, n−1 2 / 0 L noise pho...

In this article, a number of the results relevant to the concept of sublattices of a basic crystallographic lattice are reviewed, emphasizing particularly previously unpublished work on the algebraic aspects. A three-dimensional geometric lattice L can be considered as an infinite Abelian group under addition. A sublattice S of L, which is also three-dimensional, is a subgroup of L such that th...

The Wiener index, W , is the sum of distances between all pairs of vertices in a graph G. The quadratic line graph is defined as L(L(G)), where L(G) is the line graph of G. A generalized star S is a tree consisting of ∆ ≥ 3 paths with the unique common endvertex. A relation between the Wiener index of S and of its quadratic graph is presented. It is shown that generalized stars having the prope...

L; U Lower and upper cluster size bounds k Number of clusters Output: P k Restricted k-way partitioning solution Vars: k 0 Index denoting current partitioning size l + 1 Beginning index of possible new cluster 1. 8i; j with L j ? i + 1 U compute w(C i;j]) using Cluster Costs 2. for k 0 = 2 to k do 3. for j = 1 to n do 4.

some estimates are proved for the generalized fourier-bessel transform in the space (l^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.

For a graph G, the Merrifield-Simmons index i(G) is defined as the total number of independent sets of the graph G. Let G(n, l, k) be the class of unicyclic graphs on n vertices with girth and pendent vertices being resp. l and k. In this paper, we characterize the unique unicyclic graph possessing prescribed girth and pendent vertices with the maximal Merrifield-Simmons index among all graphs ...

INTRODUCTION Treatment with recombinant human erythropoietin enabled the correction of anemia in the patients on regular hemodialysis but large individual differences in the dose required to achieve the target hemoglobin level were observed. In this study the erythropoietin resistance index was calculated in patients on hemodialysis in order to examine variations in the response to erythropoiet...

Following Bass–Milnor–Serre, we prove that SLn(Z) has the congruence subgroup property for n ≥ 3. This was originally proved by Mennicke and Bass–Lazard–Serre. Let Γn = SLn(Z). The congruence subgroup problem for Γn (solved independently by Mennicke [Me] and Bass–Lazard–Serre [BLS]) seeks to classify all finite-index subgroups of Γn. For l ≥ 2, the level l principal congruence subgroup of Γn, d...

We used the RAPD-PCR method for distinguishing the main Old World Leishmania parasites Leishmania tropica, L. major, and L. infantum and applied it to Sauroleishmania species from Iran. Twelve out of 21 tested primers were suitable for identification of these parasites. The Jaccard similarity index was 0.30 for L. tropica and L. infantum as well as for L. major and L. infantum. The similarity c...