A Source-Initiated On-Demand Routing Algorithm Based on the Thorup-Zwick Theory for Mobile Wireless Sensor Networks

<table><tr><td><table class="algorithm" id="alg3"><tr><td colspan="2"><span style="font-family:monospace">A</span><span style="font-family:monospace">lgorithm</span> <b>preproGraph</b>(<i>s</i>)</td></tr><tr><td colspan="2">given a integer <svg height="12.9125" id="M118" style="vertical-align:-0.546pt" version="1.1" viewbox="0 0 36.262501 12.9125" width="36.262501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td></tr><tr><td colspan="2">given a time <i>t</i>, represent the network topology as <svg height="15.0875" id="M119" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.349998 15.0875" width="50.349998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, <svg height="15.0875" id="M120" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 16.75 15.0875" width="16.75" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td></tr><tr><td colspan="2"><svg height="14.6875" id="M121" style="vertical-align:-5.23482pt" version="1.1" viewbox="0 0 125.775 14.6875" width="125.775" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>(<i>V</i>, <i>E</i>, <i>k</i>)</td></tr><tr><td colspan="2">store the data structure in  the local database of <i>s  </i></td></tr></table></td></tr></table>

Preprocessing the graph structure of a MWSN.

The Scientific World Journal

alg3

Algorithm 3

Algorithm 3: A Source-Initiated On-Demand Routing Algorithm Based on the Thorup-Zwick Theory for Mobile Wireless Sensor Networks 