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Implementation Of An Algorithmic To Improve… Number belong to each node is also node ID. Nodes [ 1, 3, 5, 9, 14 ] are Articulation Points for the given Graph. Edges show that two nodes are sufficient near to communicate with each other through Bi-directional link. There is no case of any MAC Layer Collision, Interference, Hidden Station Problem and Exposed Station Problem. 3.2.1 Analysis Framework of Proposed Algorithm I This Algorithm is an improvement on Guha and Khuller‟s Algorithm with addition of Articulation Point Concept. This Algorithm runs in two Phases. In First Phase, it finds Articulation Points. In Second Phase, it generates Dominating Set Nodes in Connected manner. Let us Consider Network which consists of 10 Nodes. Fig. 3.3 :N/w 10 Nodes Algorithm I First Phase Step 1 : All Articulation Points of Graph are computed. In the above Graph, Articulation Points are Nodes [ 1, 3, 4, 6 ]. Step 2 : Now, randomly select any one Articulation Point and color it Black. Suppose, we have selected Node [ 4 ]. Step 3 : Now, all the Adjacent White Nodes of Black Node i.e. Node [ 5 ] are colored Gray i.e. in our case Nodes [ 1, 5, 6, 9 ]. Second Phase The size of Dominating nodes generates in Connected manner. The main idea of this Phase is to grow Dominating Set. This Phase works as follows : Step 1 : If any Gray colored Node is an Articulation Point, then color it Black. Step 2 : Else, a Gray Node with Largest number of White Adjacent Nodes is selected Step 3 : Now, Repeat Step ( 3 ) of Phase I. Now, we will move further by taking into account the steps involved in IInd Phase in terms of Iterations. Iteration 1 ( Fig. 3.3 (d) ) www.<strong>ijcer</strong>online.com ||May ||2013|| Page 86
Implementation Of An Algorithmic To Improve… Note : The above generated MCDS is the Final Output of Algorithm I. With the help of above Calculations, it is clear that MCDS Nodes generated by Algorithm I are [ 1 3 4 6 ]. Hence, total number of Nodes obtained by proposed Algorithm I is four which is better then Guha Khuller‟s Algorithm. 3.2.2 Analysis Framework of Proposed Algorithm II The Algorithm II is almost similar to Algorithm I unlike the method to connect Articulation Points.. Articulation Point acts as a connecting link between two Graphs or Networks. Algorithm II First Phase Step 1 : All Articulation Points of Graph are computed. In the above Graph, Articulation Points are Nodes [ 1, 3, 4, 6 ]. Step 2 : If Articulation Points are not connected, then connect them by means of Shortest Path Algorithms. Step 3 : Further, Generated Nodes are colored Black and all adjacent nodes are colored Gray. www.<strong>ijcer</strong>online.com ||May ||2013|| Page 87
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International Journal of computatio
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