signed_social_relations — Signed social relations in small groups and the US Senate (1952-2004)

Description

Three undirected signed social networks prepared by S. Aref and M. C. Wilson as benchmarks for measuring structural balance and computing the frustration index of signed networks (Aref and Wilson, 2018 and 2019), and distributed in their collection of signed networks.

Nodes are people, and an undirected edge has sign $+1$ for a positive and $-1$ for a negative relation between two people. The networks are:

monastery: 18 novices in a New England monastery, from the sociometric rankings collected by S. F. Sampson (1968) at the fourth time point of his study. Sampson's data include rankings of like, dislike, esteem, disesteem, positive influence, negative influence, praise and blame; all the positive and negative rankings were combined, and two novices are connected only if their relations are reciprocated with the same sign.
eastern_college: 17 women living in house B of the off-campus dormitories of an Eastern college, from the sociometric data of T. B. Lemann and R. L. Solomon (1952), which integrate the top three and bottom three choices on several criteria; two women are connected only if their choices of each other are reciprocated with the same sign.
senate_108: the 100 senators of the 108th US Senate (2003–2004), with the signed relations inferred by Z. Neal (2014) from J. H. Fowler's bill co-sponsorship data by extracting the signed backbone of the senator–bill network with the stochastic degree sequence model: senators are connected positively if they co-sponsored significantly more bills together than expected, and negatively if significantly fewer.

The networks have the following properties:

sign (edges): $+1$ for a positive and $-1$ for a negative relation.

The nodes have no names in the source; their order follows the node numbering of the source files.

Other signed networks of the same collection are in existing entries or derived from them: the Highland tribes network is identical to new_guinea_tribes; the fraternity network is the network signed_week15 of newcomb_fraternity, derived there from the week 15 rankings (ranks 1–5 as positive and 12–16 as negative choices, keeping the reciprocated relations with the same sign); and the undirected Wikipedia elections network is obtained from the votes in elec. A different version of the signed backbone of the US Senate, with senator names, inferred by Neal for every Congress up to 2016, is in us_congress.

Tags

Social Offline Political Signed

Citation

S. Aref and M. C. Wilson, "Measuring partial balance in signed networks." J. Complex Networks 6(4), 566–595 (2018) 10.1093/comnet/cnx044 Sci-Hub
S. Aref and M. C. Wilson, "Balance and frustration in signed networks." J. Complex Networks 7(2), 163–189 (2019) 10.1093/comnet/cny015 Sci-Hub
S. F. Sampson, "A Novitiate in a Period of Change: An Experimental and Case Study of Social Relationships." PhD thesis, Cornell University (1968) web.archive.org
T. B. Lemann and R. L. Solomon, "Group characteristics as revealed in sociometric patterns and personality ratings." Sociometry 15(1/2), 7–90 (1952) 10.2307/2785447 Sci-Hub
Z. Neal, "The backbone of bipartite projections: Inferring relationships from co-authorship, co-sponsorship, co-attendance and other co-behaviors." Social Networks 39, 84–97 (2014) 10.1016/j.socnet.2014.06.001 Sci-Hub
S. Aref, "Signed networks from sociology and political science, systems biology, international relations, finance, and computational chemistry." Figshare (2017) 10.6084/m9.figshare.5700832 Sci-Hub

Upstream URL OK

https://doi.org/10.6084/m9.figshare.5700832

Upstream license

Creative Commons Attribution 4.0 International (CC BY 4.0), https://creativecommons.org/licenses/by/4.0/

Networks

Tip: click on a column header to sort the list, or hover over it for a description.

Column legend

$\left<k\right>$: Mean degree
$\sigma_k$: Standard deviation of the degrees
$\lambda_h$: Largest eigenvalue of the Hashimoto (non-backtracking) matrix
$\tau$: Random walk mixing time
$r$: Degree assortativity
$c$: Global clustering coefficient
$\oslash$: (Pseudo-) diameter
$S$: Relative size of the largest component
NPs: Node properties
EPs: Edge properties

Name	Nodes	Edges	$\left<k\right>$	$\sigma_k$	$\lambda_h$	$\tau$	$r$	$c$	$\oslash$	$S$	Kind	Mode	EPs	gt	GraphML	GML	csv
monastery	18	49	5.44	1.61	4.80	1.90	-0.23	0.35	3	1.00	Undirected	Unipartite	sign	2 KiB	2 KiB	2 KiB	2 KiB
eastern_college	17	36	4.24	1.44	3.66	2.80	-0.02	0.31	4	1.00	Undirected	Unipartite	sign	2 KiB	2 KiB	2 KiB	2 KiB
senate_108	100	2,461	49.22	12.62	51.36	1.02	-0.07	0.57	2	1.00	Undirected	Unipartite	sign	3 KiB	9 KiB	9 KiB	8 KiB