a graceful labeling of a graph g of size n is an injective assignment of integers from {0, 1,..., n} to the vertices of g, such that when each edge of g has assigned a weight, given by the absolute dierence of the labels of its end vertices, the set of weights is {1, 2,..., n}. if a graceful labeling f of a bipartite graph g assigns the smaller labels to one of the two stable sets of g, then f...

As part of its growth strategy, Caterpillar Inc. plans to launch a new P2000 product line of \compact" construction equipment and work tools. In anticipation of this, they asked the authors to construct and analyze potential P2000 supply chain con gurations. Through the use of decomposition, and results from network ow theory, inventory theory, and simulation theory, we were able to provide a s...

PURPOSE To report a case of caterpillar setae embedded in the deep cornea and anterior chamber. METHODS A 26-year-old man was struck in his right eye by a caterpillar (Dendrolimus punctatus walker). Severe conjunctival injection, chemosis, and erosion of the cornea developed immediately. Numerous setae fragments were found to be embedded into the palpebral conjunctiva and deep cornea, extendi...

BACKGROUND The Asp Caterpillar, Megalopyge opercularis, is endemic to the southern United States and causes hundreds of human envenomations annually. Envenomation from the spines of the caterpillar causes severe pain, burning, swelling, nausea, abdominal distress, and headache. Despite the high prevalence of envenomations, little is known about the caterpillars, their geographical distribution,...

PURPOSE To report uveitis secondary to ocular penetration of caterpillar hairs (setae). METHODS Case report. A documented attack of acute anterior uveitis was caused by initially overlooked penetration of caterpillar setae. RESULTS A 66-year-old man presenting with unilateral hypertensive keratouveitis was treated with antiherpes simplex medication (along with local anti-inflammatory and cy...

Wheelchairs are an important means of transportation for the elderly and disabled. However, movement wheelchairs on long curbs stairs is restricted. In this study, a wheelchair climbing was developed based mechanical transmission system that rotates entire driving part through link structure actuator to change speed. The first mode drives caterpillar, second wheels. When flat ground, it uses la...