We explore the relationship between Kekulé structures and maximum face independence sets in fullerenes: plane trivalent graphs with pentagonal and hexagonal faces. For the class of leap-frog fullerenes, we show that a maximum face independence set corresponds to a Kekulé structure with a maximum number of benzene rings and may be constructed by partitioning the pentagonal faces into pairs and 3...

in order the the effect of biofertilizer and cut irrigation on growth of borage (borago officinalis) an experiment in split plot randomized based on complete block design with three replications in 1393 at the agricultural research station of roudehen islamic azad university done. treatments were first factor drought in four levels (control, stress at vegetative stage, stress at flowering stage...

2014 We study dense packings of particles with interactions favouring pentagonal symmetry. Such structures can be obtained by decorations of Penrose tilings or directly with a cut-and-projection method. We prove that they form the degenerated ground-state in the case of pair potentials limited to first neighbours and for interaction strength parameters lying in broad ranges of values. Cooling r...

In any decision-making process, imprecision is a significant issue. To deal with the ambiguous environment of collective decision-making, various tools and approaches have been created. Fuzzy set theory one most recent for coping imprecision. The Transportation Problem (FTP) well-known network planned linear programming problem which exists in variety situations has received lot attention recen...

Academic insignia of the Faculty Chemical Technology UCT Prague have a history and are used in academic ceremonies (graduation, ceremonial scientific councils, awarding honorary doctorates, etc.). Insignia consists single chain with medal scepter. They made gold-plated silver decorated natural synthetic precious stones. The central motif head sceptre is pentagonal dodecahedron cut from sulphide...

Resting cyst and motile thecate cell stages of three heterotrophic Protoperidinium oblongum, Protoperidinium sp < b> and Protoperidinium claudicans were assessed. Cysts were isolated from sediment collected from southeast coast of Iran. Individual live cysts were incubated under optimal conditions for germination. Results showed that Protoperidinium oblongum cysts were pentagonal smooth walled ...