FIG. 3: The plot shows the variation of the mean degree, 〈 k 〉 with the number of events N . The lines represent the best fits from which the slope ie estimated. The shuffled catalog, which is equivalent to a random process, shows a slope = 1 while the actual catalog shows a lower value of ≈ 0.91. 4 6 8 10 12 7 8 9 10 11 12 <k> ln(N) <k>$_{actual}$ - 0.42 + 0.91*ln(N) <k>$_{shuffled}$ - 0.41 + ln(N) actual shuffled where Δ σ , the spherical distance, or central angle, between the two event locations is R , the radius of the earth, is taken as 6367 km . The PDF of the recurrent distances for all the i − j recurrent pairs in the actual network is shown in a log − log plot of P$_{m}$ ( l ) versus l in Fig. 4(a). The different coloured points are for networks with different m$_{th}$ values. All the plots show that the PDF is unimodal and exhibits a peak at a typical distance l ∗ $_{m}$. The position of the peak is invariant with respect to the length of the catalog as can be seen from the peak positions of the green and black points, which corresspond to different catalog sizes having the same m$_{th}$ value of 3 . 0. Though we have not shown it in the figure, we have verified this for the other m$_{th}$ values also. The peak position however, depends upon m$_{th}$ and increases with it. Beyond the peak the distribution shows a power law decrease with an exponent ≈ 1 . 2 upto a cut-off which represents the size of the region studied. Since the least count of the catalog for latitude and longitude values is 0 . 001 $^{o}$, which translates to a least measurable distance ≈ 0 . 1km, we are unable to resolve the points at distances < 100mts. This affects the unnambiguous recognition of the peak for the lower m$_{th}$ plots. The position of the peaks for each plot ( l ∗ $_{m}$) was estimated by fitting a quadratic near the region of the peak. The variation of l ∗ m with m was studied to arrive at the rescaling parameter of 0 . 41 Δ σ = 2 arcsin (√ sin 2 ( Δ φ 2 ) + cos( φ$_{i}$ ) cos( φ$_{j}$ ) sin 2 ( Δ λ 2 ) ) . 7