Small-size and low-power sensors with sensing, signal processing and wireless communication capabilities is suitable for the wireless sensor networks. Due to the limited resources and battery constraints, complex routing algorithms used for the ad-hoc networks cannot be employed in sensor networks. In this paper, we propose node-disjoint multi-path hexagon-based routing algorithms in wireless s...

Jaeger’s directed cycle double cover conjecture can be formulated as a problem of existence of special perfect matchings in a class of graphs that we call hexagon graphs. In this work, we explore the structure of hexagon graphs. We show that hexagon graphs are braces that can be generated from the ladder on 8 vertices using two types of McCuaig’s augmentations.

We present a triangular six-node shell element that represents an important improvement over a recently published element [1]. The shell element is formulated, like the original element, using the MITC procedure. The element has the attributes to be spatially isotropic, to pass the membrane and bending patch tests, to contain no spurious zero energy mode, and is formulated without an artificial...

There are many long-standing open problems on cubic bridgeless graphs, for instance, Jaeger’s directed cycle double cover conjecture. On the other hand, many structural properties of braces have been recently discovered. In this work, we bijectively map the cubic bridgeless graphs to braces which we call the hexagon graphs, and explore the structure of hexagon graphs. We show that hexagon graph...

Background The poor hygiene of peri-implant tissues causes inflammation at tissue-implant interface, which may impair the rehabilitation success. The aim of this study was to evaluate the influence of external hexagon and Morse taper implants on peri-implant health in patients wearing mandibular overdentures for 1 year. Materials and Methods A total of 46 implants were evaluated, 28 external ...

An efficient search algorithm using the principle of Hexagon-Based Search algorithm (HEXBS) for motion estimation called Hexagon-Based Fast Search algorithm (HEXFS) is proposed in this paper. The proposed algorithm combines the hexagon search algorithm and a two-step search algorithm which uses cross search patterns to reduce the huge calculation complexity. The experimental results show that t...

By minimizing the magnetostatic potential energy and by finding zeros in sum of squares torques, we find equilibrium states six dipoles identical strength at vertices a regular hexagon variable-strength dipole center. The seven spin freely about fixed axes that are perpendicular to plane hexagon, with their moments directed parallel plane. When central is weak compared perimeter dipoles, “circu...

The throughput of large wireless networks with regular topologies is analyzed under two medium-access control schemes: synchronous array method (SAM) and slotted ALOHA. The regular topologies considered are square, hexagon, and triangle. Both nonfading channels and Rayleigh fading channels are examined. Furthermore, both omnidirectional antennas and directional antennas are considered. Our anal...

Introduction: To assess the rate of cervical lymph node involvement in patients with supraglottic squamous cell carcinoma (SCC) with no lymph node in clinical assessments and radiological studies. Materials and Methods: Fifty-six patients who underwent elective dissection of the cervical lymph node of the second through fourth level were enrolled, and pathologic evaluation of the dissected lymp...

A generalized homology of a generalized hexagon 5^ is an auto-morphism of S? fixing all points on two mutually opposite lines or fixing all lines through two mutually opposite points. We show that if 5? is finite and if it admits "many" generalized homologies, then 5? is Moufang and hence classical. 1. Introduction and notation, A (finite thick) generalized hexagon of order (s, t) is a point-li...