Linear Time Approximation Algorithms for the Relay Node Placement Problem in Wireless Sensor Networks with Hexagon Tessellation

Table 2

The average number of connected components and additional relay nodes needed for connectivity under various numbers of sensor nodes in a 200 × 200 monitor region. (, ).

Number of sensor nodes	50	60	70	80	90	100	200	300	400	500
Number of relay nodes deployed using the Hexagon-II MGDC solution	42	50	56	63	68	75	114	137	148	155
Average number of connected components of relay nodes	4.9	3.9	3.1	1.9	1.5	1	1	1	1	1
Number of additional relay nodes needed for connectivity	10	4	2	1	1	0	0	0	0	0