A cactus is a connected graph in which any two cycles have at most one common vertex. We determine the unique that maximizes distance spectral radius over all cacti with fixed numbers of vertices and cycles, thus prove conjecture on Bose et al. [4]. result context hypertrees.

Address for correspondence: Xatzipsalti Maria, 1 Zafeiriou Str., 171 22 Nea Smyrni, Athens, Greece, Tel.: +3

We construct a small regular cellular decomposition of the Fulton MacPherson operad F M 2 $FM_2$ that is compatible with composition. The cells are indexed by trees edges two colors and vertices labeled cacti operad. compute generating functions counting algebraic.

One of the consequences of the classification of finite simple groups is the fact that non-rigid polynomials (those with more than two finite critical values), considered as branched coverings of the sphere, have exactly three exceptional monodromy groups (one in degree 7, one in degree 13 and one in degree 15). By exceptional here we mean primitive and not equal to Sn or An, where n is the deg...

Calcium oxalate druses were isolated from the stems and leaves of six Pereskioideae family members and investigated by infrared spectroscopy, showing that in all samples the biomineral was present in the form of whewellite, CaC2O4 x H2O. As Pereskia is thought to represent the "ancestral" condition of the leafless stem-succulent cacti, these results suggest that the biomineralization of calcium...