A Cluster–based Approach for Minimizing Energy Consumption by Reducing Travel Time of Mobile Element in WSN

Envoy Node Identification (ENI) and Halting Location Identifier (HLI) algorithms have been developed to reduce the travel time of Mobile Element (ME) by determining Optimal Path(OP) in Wireless Sensor Networks. Data generated by cluster members will be aggregated at the Cluster Head (CH) identified by ENI for onward transmission to the ME and it likewise decides an ideal path for ME by interfacing all CH/Envoy Nodes (EN). In order to reduce the tour length (TL) further HLI determines finest number of Halting Locations that cover all ENs by taking transmission range of CH/ENs into consideration. Impact of ENI and HLI on energy consumption and travel time of ME have been examined through simulations

Connected Vertex-Edge Dominating Sets and Connected Vertex-Edge Domination Polynomials of Friendship F_n

Let  be a simple connected graph of order  Let be the family of connected vertex-edge dominating sets in  with cardinality .The polynomial is called the connected vertex - edge domination polynomial of  G, where  is the number of connected vertex - edge dominating sets of G. In this paper, we study some properties of connected vertex-edge domination polynomials of the Friendship graph . We obtain a recursive formula for   . Using this recursive formula, we construct the connected vertex - edge domination polynomial  of , where  is the number of the connected vertex - edge dominating sets of  of cardinality  and some properties of this polynomial have been studied

Assessment of ground water quality using water quality index and GIS

Ground water demand in India has significantly increased as a result of the country's fast population development, industrialization, and urbanization. Using a water quality index, or WQI helpful numerical instrument for deriving complex information from any water body and for reporting and analyzing it. WQI is essentially a mathematical method for calculating a single value from a set of test results. Any WQI model can explain the degree of water contamination with a single number, depending on several of water quality indicators at a particular place and time. In this work, an effort has been made to understand whether ground water is fit for human consumption. The study area included various residential and industrial areas that do get their water from groundwater resources. This study evaluates When compared to WHO drinking and residential water quality criteria (WQI), the physical, chemical, and biological properties of various groundwater samples taken from various sites are examined. The spatial evaluation of several groundwater quality parameters in this investigation has been done using the GIS approach. The study's goal is to determine the WQI of ground water determine if it is fit for human consumption in the study area using the GIS technique