Prickly problems of cacti phylogeny

Cacti 4.0

The original CACTI tool was released in 1994 to give computer architects a fast tool to model SRAM caches. It has been widely adopted and used since. Two new versions were released to add area and active power modeling to CACTI. This new version adds a model for leakage power and updates the basic circuit structure and device parameters to better reflect the advances in scaling semiconductors w...

Prickly pear

Prickly Heat

ein, salicylic acid, and perchloride o further bears out this view. . naoU. Synonyms.?Lichen tropicus, sue a l?sa, milaria rubra vel papulosa. , -^..1 by Definition.?The disease is cha[act^ S s00n jhe occurrence of small white vesic: es become ruptured, by redness of tl ^ an <}nd by the formation of scales. ^ staohv'nfection of the sweat-gland ducts > ? tjie [ococcus. The rash usually aPPepSers...

Difference labelling of cacti

A graph G is a difference graph iff there exists S ⊂ IN such that G is isomorphic to the graph DG(S) = (V,E), where V = S and E = {{i, j} : i, j ∈ V ∧ |i− j| ∈ V }. It is known that trees, cycles, complete graphs, the complete bipartite graphs Kn,n and Kn,n−1, pyramids and n-sided prisms (n ≥ 4) are difference graphs (cf. [4]). Giving a special labelling algorithm, we prove that cacti with a gi...

Enumeration of M-ary Cacti

The purpose of this paper is to enumerate various classes of cyclically colored m-gonal plane cacti, called m-ary cacti. This combinatorial problem is motivated by the topological classiication of complex polynomials having at most m critical values, studied by Zvonkin and others. We obtain explicit formulae for both labelled and unlabelled m-ary cacti, according to i) the number of polygons, i...