Problems in Function Theory with Applications in Epidemic Modeling - Products

Journal publications

J. Ericson, P. Poggi-Corradini, H. Zhang “Effective resistance on graphs and the epidemic quasimetric”. Involve 7 (2014), no.1, 97–124.

N. Albin, P. Poggi-Corradini, F. Darabi Sahneh, M. Goering, “Modulus of Families of Walks on Graphs”

P. Schumm, W. Schumm, and C. Scoglio “Impact of Preventive Behavioral Responses to Epidemics in Rural Regions” In Proceedings of ICCS 2013, Procedia Computer Science, June 5-7, Barcelona, Spain, 2013.

Network	Number of Nodes	Number of Edges	Average Node Degree	Average Clustering Coefficient	Diameter	Spectral Radius	Algebraic Connectivity	Source
adjnoun	112	425	7.589	0.173	5	13.15	0.695	Adjnoun
power	4941	6594	2.669	0.103	46	7.483	7.59E-4	Power
karate	34	78	4.588	0.256	5	6.726	0.468	Karate
football	115	613	10.661	0.403	4	10.78	1.460	Football
dolphins	62	159	5.129	0.309	8	7.194	0.173	Dolphins
hep-th	8361	15751	3.768	0.329	19	23	-8.84E-14	Hep-th
lesmis	77	254	6.597	0.499	5	12.006	0.205	Lesmis
polblogs	1490	19090	25.624	0.226	9	46.514	NAN	Polblogs
netscience	1589	2742	3.451	0.693	17	19.024	-1.94E-14	Netscience

Network	Reference
adjnoun	M.E.J. Newman, Finding community structure in networks using the eigenvectors of matrices, Phys. Rev. E 74, 036104 (2006)
power	D. J. Watts and S. H. Strogatz, "Collective dynamics of `small-world' networks", Nature 393, 440-442 (1998)
karate	W. W. Zachary, An information flow model for conflict and fission in small groups, Journal of Anthropological Research 33, 452-473 (1977).
football	M. Girvan and M. E. J. Newman, Community structure in social and biological networks, Proc. Natl. Acad. Sci. USA 99, 7821-7826 (2002).
dolphins	D. Lusseau, K. Schneider, O. J. Boisseau, P. Haase, E. Slooten, and S. M. Dawson, The bottlenose dolphin community of Doubtful Sound features a large proportion of long-lasting associations, Behavioral Ecology and Sociobiology 54, 396-405 (2003).
hep-th	M. E. J. Newman, The structure of scientific collaboration networks, Proc. Natl. Acad. Sci. USA 98, 404-409 (2001).
lesmis	D. E. Knuth, The Stanford GraphBase: A Platform for Combinatorial Computing, Addison-Wesley, Reading, MA (1993).
poblogs	Lada A. Adamic and Natalie Glance, "The political blogosphere and the 2004 US Election", in Proceedings of the WWW-2005 Workshop on the Weblogging Ecosystem (2005).
netscience	M. E. J. Newman, "Finding community structure in networks using the eigenvectors of matrices," Physical review E 74.3 (2006): 036104.