No abstract

No abstract

This paper represents the idea of home automation system using wireless technology. Wireless technology widely used for communication purpose these advanced technology changes every person constantly. In today's world automation plays very important role and in these project home appliances controlled through the human interaction with the Wi-Fi technology. The home appliances are controlled manually through PC or mobile phone in same local area network. The home is become fully automated which depends upon sensor reading. Another mode is used in this project is security mode. Now a day's security of home is need of everyone which alerts the user if anyone enters in the area of the main entrance or the password entered is incorrect then these systems becomes active.

No abstract

A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segment without edge crossings. It is well known that a planar graph of n vertices admits a straight-line grid drawing on a grid of area O(n 2 ). A lower bound of Ω(n 2 ) on the area-requirement for straight-line grid drawings of certain planar graphs are also known.In this paper, we introduce a fairly large class of planar graphs which admits a straightline grid drawing on a grid of area O(n). Our new class of planar graphs, which we call "doughnut graphs," is a subclass of 5-connected planar graphs. We also show several interesting properties of "doughnut graphs" in this paper.