TY  - JOUR
A1  - Morrison, Greg
A1  - Mahadevan, L.
Y1  - 2011///
PB  - IOPscience
VL  - 93
SN  - 0295-5075      
KW  - Mathematical physics  -  PACS: 02.10.Ox Combinatorics; graph theory
N2  - We propose a non-metric measure of the "closeness" felt between two nodes in an undirected, weighted graph using a simple weighted harmonic average of connectivity, that is a real-valued Generalized Erdös Number (GEN). While our measure is developed with a collaborative network in mind, the approach can be of use in a variety of artificial and real-world networks. We are able to distinguish between network topologies that standard distance metrics view as identical, and use our measure to study some simple analytically tractable networks. We show how this might be used to look at asymmetry in authorship networks such as those that inspired the integer Erdös numbers in mathematical coauthorships. We also show the utility of our approach to devise a ratings scheme that we apply to the data from the NetFlix prize, and find a significant improvement using our method over a baseline.
JF  - EPL (Europhysics Letters)
IS  - 4
UR  - http://dx.doi.org/10.1209/0295-5075/93/40002
TI  - Asymmetric network connectivity using weighted harmonic averages
ID  - eprints1824
AV  - none
ER  -