Extending a bijection recently introduced by Poulalhon and Schaeffer [15] for triangulations of the sphere we design an efficient algorithm for encoding (topological) triangulations and bipartite quadrangulations on an orientable surface of fixed topology τ (given by the genus g and number of boundaries b). To our knowledge, our encoding procedure is the first to be asymptotically optimal (in t...

The medicinal part of Rubia tinctorum is the dried root. The small yellowishgreen flowers are in loose, leafy, long-peduncled terminal or auxiliary cymes. The margin of the calyx is indistinct, 4- to 5-sectioned and has a tip that is curved inward. There are five stamens and an inferior ovary. The fruit is a black, pea-sized glabrous, smooth drupe containing two seeds. The perennial pl...

The medicinal part of Rubia tinctorum is the dried root. The small yellowishgreen flowers are in loose, leafy, long-peduncled terminal or auxiliary cymes. The margin of the calyx is indistinct, 4- to 5-sectioned and has a tip that is curved inward. There are five stamens and an inferior ovary. The fruit is a black, pea-sized glabrous, smooth drupe containing two seeds. The perennial pl...

In unilateral cleft lip repair, the vermilion triangular flap technique reported by Noordhoff1 and its modification are widely accepted for the augmentation of the vermilion height on the medial side of the cleft; however, these techniques do not focus on the deformity of the labial tubercle. In this article, we herein report a modified technique for vermilion repair that is focused on the labi...

BACKGROUND Given the benefits of radiographic cephalometric studies in determining patterns of dental-skeletal-facial normality in orthodontics, the aim of this study was to investigate the association between mandibular dental arch shape and cross-sectional and vertical facial measurements. MATERIALS AND METHODS It was analyzed plaster casts and teleradiographs in frontal and lateral norm be...