Hain’s trapezoidation algorithm is a fast, practical algorithm for the reduction of simple polygons into horizontally aligned trapezoids partitioned into a minimal collection of trapezoid sequences. An extension to this algorithm is described which allows trapezoidation of simple polygons with an arbitrary number of non-intersecting holes. The minimal computational cost per hole is a traversal ...

a graph is textit{symmetric}, if its automorphism group is transitive on the set of its arcs. in this paper, we  classifyall the connected cubic symmetric  graphs of order $36p$  and $36p^{2}$, for each prime $p$, of which the proof depends on the classification of finite simple groups.

In his 1998 paper, Ryan classified the sets of unit, proper, and plain trapezoid and parallelogram orders. We extend this classification to include unit, proper, and plain triangle orders. We prove that there are 20 combinations of these properties that give rise to distinct classes of ordered sets, and order these classes by containment. Mathematics Subject Classifications (2000) 06A06, 05C62

Using (1.1), the authors obtained estimations of error for the mid-point, trapezoid, and Simpson quadrature formulae. They also gave applications of the mentioned results in numerical integration and for special means. In this paper, we establish two perturbations of (1.1). Using the perturbations, we derive some new error bounds for the mid-point, trapezoid, and Simpson quadrature formulae. Si...

This letter presents a low power CMOS pulse generator based on spectral efficiently gated oscillator for multiband impulse radio ultra-wideband (UWB) system. The pulse generator is based on an on/off switched LC oscillator with the trapezoid switching pulse. By using trapezoid pulse for on/off switching signal of the oscillator, better output spectral characteristic can be achieved without addi...

Even the simplest advection-diffusion problems can exhibit multiple time scales. This means that robust variable step time integrators are a prerequisite if such problems are to be efficiently solved computationally. The performance of the second order trapezoid rule using an explicit Adams–Bashforth method for error control is assessed in this work. This combination is particularly well suited...

A new generalized perturbed trapezoid type inequality is established by Peano kernel approach. Some related results are also given.

in the present study, trapezoid crab, quadrella reticulata was found for the first time in the north of kish island, the persian gulf, iran. diagnostic characters of the species are figured and its world geographical distribution in the indo-west pacific region is considered.

The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new a...

This article first introduces an extension of the classical cumulative constraint: each task is no more a rectangle but rather a sequence of contiguous trapezoid sub-tasks with variable duration and heights. The resource function is no more constant but is a positive or negative piecewise linear function of time. Finally, a task is no more pre-assigned to one resource, but to a task corresponds...