Polycyclic aromatic hydrocarbon chromophores that show an ideal bipartition between fluorescence and singlet oxygen production have been developed.

Genuineness and distillability of entanglement play a key role in quantum information tasks, they are easily disturbed by the noise. We construct family multipartite states without genuine sudden death across every bipartition, respectively. They realized establishing noise as high-dimensional Pauli channels. Further, we locally unitary channel another such that Greenberger–Horne–Zeilinger stat...

Phylogenies inferred from different data matrices often conflict with each other necessitating the development of measures that quantify this incongruence. Here, we introduce novel measures that use information theory to quantify the degree of conflict or incongruence among all nontrivial bipartitions present in a set of trees. The first measure, internode certainty (IC), calculates the degree ...

A hierarchical divisive algorithm is proposed for identifying communities in complex networks. To that effect, the definition of community in the weak sense of Radicchi [Proc. Natl. Acad. Sci. U.S.A. 101, 2658 (2004)] is extended into a criterion for a bipartition to be optimal: one seeks to maximize the minimum for both classes of the bipartition of the ratio of inner edges to cut edges. A mat...

We study monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. first derive the inequality unified-(q, s) for multi-qubit states under arbitrary bipartition, then obtain $$\alpha $$ th ( $$0\le \alpha \le \frac{r}{2}, r\ge \sqrt{2}$$ ) power formation tripartite their generalizations states. also generalize bipartition. Moreover, we investigate $$\beta \ge ...

We offer some new identities for a bipartition function, which has a relation to a Hecke-type identity of Andrews. Further, we show this partition function is lacunary, and relate it to a real quadratic field.

Introduction: Children with Apert syndrome have hypertelorism and midfacial hypoplasia, which can be treated facial bipartition (FB), often aided by rigid external distraction. The technique involves a midline osteotomy that lateralizes the maxillary segments, resulting in posterior cross-bites diastema. Varying degrees of spontaneous realignment dental arches occurs postoperatively. This study...