Taro exchange

This undirected network contains gift-givings (taro) between households in a Papuan village. A node represents a household and an edge between two households indicates that there happened a gift-giving.

Metadata

CodeMT
Internal namemoreno_taro
NameTaro exchange
Data sourcehttp://moreno.ss.uci.edu/data.html#taro
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Human social network
Node meaningHousehold
Edge meaningGift-giving
Network formatUnipartite, directed
Edge typeUnweighted, no multiple edges
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsDoes not contain loops

Statistics

Size n =22
Volume m =78
Loop count l =0
Wedge count s =109
Claw count z =1,076
Cross count x =1,645
Triangle count t =10
Square count q =4
4-Tour count T4 =546
Maximum degree dmax =12
Maximum outdegree d+max =6
Maximum indegree dmax =6
Average degree d =7.090 91
Fill p =0.168 831
Size of LCC N =22
Size of LSCC Ns =22
Relative size of LSCC Nrs =1.000 00
Diameter δ =5
50-Percentile effective diameter δ0.5 =1.932 26
90-Percentile effective diameter δ0.9 =3.259 62
Median distance δM =2
Mean distance δm =2.375 76
Gini coefficient G =0.117 716
Balanced inequality ratio P =0.423 077
Outdegree balanced inequality ratio P+ =0.423 077
Indegree balanced inequality ratio P =0.423 077
Relative edge distribution entropy Her =0.989 648
Power law exponent γ =8.274 82
Tail power law exponent γt =8.991 00
Tail power law exponent with p γ3 =8.991 00
p-value p =0.871 000
Outdegree tail power law exponent with p γ3,o =8.991 00
Outdegree p-value po =0.870 000
Indegree tail power law exponent with p γ3,i =8.991 00
Indegree p-value pi =0.869 000
Degree assortativity ρ =−0.375 145
Degree assortativity p-value pρ =0.000 713 882
In/outdegree correlation ρ± =+1.000 00
Clustering coefficient c =0.275 229
Directed clustering coefficient c± =0.275 229
Spectral norm α =7.501 79
Operator 2-norm ν =3.750 90
Cyclic eigenvalue π =3.750 90
Algebraic connectivity a =1.072 52
Spectral separation 1[A] / λ2[A]| =1.261 79
Reciprocity y =1.000 00
Non-bipartivity bA =0.280 755
Normalized non-bipartivity bN =0.318 664
Algebraic non-bipartivity χ =1.051 84
Spectral bipartite frustration bK =0.074 168 5
Controllability C =2
Relative controllability Cr =0.090 909 1

Plots

Fruchterman–Reingold graph drawing

Degree distribution

Cumulative degree distribution

Lorenz curve

Spectral distribution of the adjacency matrix

Spectral distribution of the normalized adjacency matrix

Spectral distribution of the Laplacian

Spectral graph drawing based on the adjacency matrix

Spectral graph drawing based on the Laplacian

Spectral graph drawing based on the normalized adjacency matrix

Degree assortativity

Zipf plot

Hop distribution

Double Laplacian graph drawing

Delaunay graph drawing

In/outdegree scatter plot

Clustering coefficient distribution

Average neighbor degree distribution

SynGraphy

Matrix decompositions plots

Downloads

References

[1] Jérôme Kunegis. KONECT – The Koblenz Network Collection. In Proc. Int. Conf. on World Wide Web Companion, pages 1343–1350, 2013. [ http ]
[2] Per Hage and Frank Harary. Structural Models in Anthropology. Cambridge Univ. Press, 1983.
[3] Eric Schwimmer. Exchange in the Social Structure of the Orokaiva: Traditional and Emergent Ideologies in the Northern District of Papua. St. Martin's Press, 1973.