In a recent preprint, Bestvina, Bux, and Margalit construct a cell complex that gives a combinatorial model for the collection of isotopy classes of oriented curve systems within a given homology class in a closed orientable surface [BBM]. A key property of the complex is that it is contractible. Here we will construct a different complex, this one a simplicial complex rather than a cell comple...

In this work we consider the Successive Overrelaxation (SOR) method for the solution of a linear system Ax = b, when the matrix A has a block p X P partitioned p-cyclic form and its associated block Jacobi matrix Jp 1s weaJdy cyclic of index p. Following the pioneering work by Young and Varga in the 50s many researchers have considered various cases for the spectrum 0'(Jp ) and have determlned ...

Recent models of complex networks rely on degree-based properties evaluation, a new approach is proposed based on other microstructures existing in networks that are cycles (loops). Degree-based entropy measures the uncertainties in relationship whereas cycle-based (cyclic) entropy measures the uncertainties associated with the information feedback in collaboration network, namely Wikipedia. On...

This work explores the configurations of complex networks that would exhibit the maximum entropy using both degree and cyclic entropies measures. Theoretical models for such networks were proposed and were validated by using our developed genetic algorithms. A complex network configuration with the maximum cyclic entropy was identified as a cyclic star network; a star network with all non centr...

Many large, real-world complex networks have rich community structure that a network scientist seeks to understand. These communities may overlap or have intricate internal structure. Extracting communities with particular topological structure, even when they overlap with other communities, is a powerful capability that would provide novel avenues of focusing in on structure of interest. In th...

The rock-paper-scissors game and its generalizations with S>3 species are well-studied models for cyclically interacting populations. Four is, however, the minimum number of species that, by allowing other interactions beyond the single, cyclic loop, breaks both the full intransitivity of the food graph and the one-predator, one-prey symmetry. Lütz et al. [J. Theor. Biol. 317, 286 (2013)] have ...

The cyclic nucleotides 3', 5'-cyclic adenosine monophosphate (cAMP) and 3', 5'-cyclic guanosine monophosphate (cGMP) are intracellular messengers found in most animal cell types. They usually mediate an extracellular stimulus to drive a change in cell function through activation of their respective cyclic nucleotide-dependent protein kinases, PKA and PKG. The enzymatic components of the malaria...

New coordination polymer of [HgLCl2]n (1) with HgCl2 and Schiff base bidentate ligand (4-methoxyphenyl) pyridine-2yl methyleneamine (L) was prepared and structurally characterized. In the 1D network structure of 1, the mecury (II) ion adopts an HgN2Cl3 distorted square pyramid geometry. In this complex, one of the chlorine acts as bridging ligand connecting two adjacent mercury(II) ions while, ...