Bison

This directed network contains dominance between American bison (Bison bison) in 1972 on the National Bison Range in Moiese (Montana). A node represents a bison and an edge represents dominance of the left bison over the right bison. The edge values indicate how often this dominance behaviour was observed.

Metadata

CodeMB
Internal namemoreno_bison
NameBison
Data sourcehttp://moreno.ss.uci.edu/data.html#bison
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Animal network
Dataset timestamp 1972-07-25 ⋯ 1972-08-14
Node meaningBison
Edge meaningDominance
Network formatUnipartite, directed
Edge typePositive weights, no multiple edges
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsDoes not contain loops
Skew-symmetry Inverted edges can be interpreted as negated edges

Statistics

Size n =26
Volume m =314
Loop count l =0
Wedge count s =3,872
Claw count z =73,357
Cross count x =498,232
Triangle count t =1,018
Square count q =12,388
4-Tour count T4 =115,036
Maximum degree dmax =39
Maximum outdegree d+max =18
Maximum indegree d−max =22
Average degree d =24.153 8
Fill p =0.483 077
Size of LCC N =26
Size of LSCC Ns =26
Relative size of LSCC Nrs =1.000 00
Diameter δ =2
50-Percentile effective diameter δ0.5 =0.739 785
90-Percentile effective diameter δ0.9 =1.702 81
Median distance δM =1
Mean distance δm =1.301 35
Gini coefficient G =0.191 940
Balanced inequality ratio P =0.406 051
Outdegree balanced inequality ratio P+ =0.417 197
Indegree balanced inequality ratio P− =0.394 904
Relative edge distribution entropy Her =0.979 110
Power law exponent γ =2.007 65
Tail power law exponent γt =8.991 00
Tail power law exponent with p γ3 =8.991 00
p-value p =0.409 000
Outdegree tail power law exponent with p γ3,o =8.551 00
Outdegree p-value po =0.085 000 0
Indegree tail power law exponent with p γ3,i =8.911 00
Indegree p-value pi =0.372 000
Degree assortativity ρ =−0.104 224
Degree assortativity p-value pρ =0.028 096 9
In/outdegree correlation ρ± =+0.390 729
Clustering coefficient c =0.788 740
Directed clustering coefficient c± =0.658 149
Spectral norm α =88.438 6
Operator 2-norm ν =51.657 8
Cyclic eigenvalue π =35.350 6
Algebraic connectivity a =11.208 8
Spectral separation |λ1[A] / λ2[A]| =2.736 85
Reciprocity y =0.585 987
Non-bipartivity bA =0.790 714
Normalized non-bipartivity bN =0.738 205
Algebraic non-bipartivity χ =5.508 78
Spectral bipartite frustration bK =0.080 646 5
Controllability C =0
Relative controllability Cr =0.000 00

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

Edge weight/multiplicity distribution

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] Dale F. Lott. Dominance relations and breeding rate in mature male American bison. Z. für Tierpsychol., 49(4):418–432, 1979.