# Many Network Measures, Motifs, Members, and Models

## Documentation for package ‘migraph’ version 1.3.4

- DESCRIPTION file.
- Package NEWS.

## Help Pages

B C D E F H K M N O P R T

## -- B --

between_centrality | Measures of betweenness-like centrality and centralisation
brokerage_census | Censuses of brokerage motifs

## -- C --

cliques | Clique partitioning algorithms
close_centrality | Measures of closeness-like centrality and centralisation
closure | Measures of network closure
cluster | Methods for equivalence clustering
cluster_concor | Methods for equivalence clustering
cluster_hierarchical | Methods for equivalence clustering
cohesion | Measures of network cohesion or connectedness
community | Community partitioning algorithms
components | Component partitioning algorithms
core | Core-periphery clustering algorithms

## -- D --

degree_centrality | Measures of degree-like centrality and centralisation

## -- E --

eigenv_centrality | Measures of eigenvector-like centrality and centralisation
equivalence | Equivalence clustering algorithms

## -- F --

features | Measures of network topological features

## -- H --

heterogeneity | Measures of network diversity
hierarchy | Graph theoretic dimensions of hierarchy
holes | Measures of structural holes

## -- K --

kselect | Methods for selecting clusters
k_elbow | Methods for selecting clusters
k_silhouette | Methods for selecting clusters
k_strict | Methods for selecting clusters

## -- M --

mpn_bristol | Multimodal (3) Bristol protest events, 1990-2002 (Diani and Bison 2004)
mpn_cow | One-mode interstate trade relations and two-mode state membership in IGOs (COW)
mpn_cow_igo | One-mode interstate trade relations and two-mode state membership in IGOs (COW)
mpn_cow_trade | One-mode interstate trade relations and two-mode state membership in IGOs (COW)
mpn_DemSxP | Two-mode 112th Congress Senate Voting (Knoke et al. 2021)
mpn_DE_1990 | Two-mode European Values Survey, 1990 and 2008 (EVS 2020)
mpn_DE_2008 | Two-mode European Values Survey, 1990 and 2008 (EVS 2020)
mpn_elite_mex | One-mode Mexican power elite database (Knoke 1990)
mpn_elite_usa | Two-mode and three-mode American power elite database (Domhoff 2016)
mpn_elite_usa_advice | Two-mode and three-mode American power elite database (Domhoff 2016)
mpn_elite_usa_money | Two-mode and three-mode American power elite database (Domhoff 2016)
mpn_evs | Two-mode European Values Survey, 1990 and 2008 (EVS 2020)
mpn_IT_1990 | Two-mode European Values Survey, 1990 and 2008 (EVS 2020)
mpn_IT_2008 | Two-mode European Values Survey, 1990 and 2008 (EVS 2020)
mpn_OverSxP | Two-mode 112th Congress Senate Voting (Knoke et al. 2021)
mpn_RepSxP | Two-mode 112th Congress Senate Voting (Knoke et al. 2021)
mpn_ryanair | One-mode EU policy influence network, June 2004 (Christopoulos 2006)
mpn_senate112 | Two-mode 112th Congress Senate Voting (Knoke et al. 2021)
mpn_UK_1990 | Two-mode European Values Survey, 1990 and 2008 (EVS 2020)
mpn_UK_2008 | Two-mode European Values Survey, 1990 and 2008 (EVS 2020)

## -- N --

network_adhesion | Measures of network cohesion or connectedness
network_assortativity | Measures of network diversity
network_balance | Measures of network topological features
network_betweenness | Measures of betweenness-like centrality and centralisation
network_brokerage_census | Censuses of brokerage motifs
network_census | Censuses of motifs at the network level
network_change | Measures of network change
network_closeness | Measures of closeness-like centrality and centralisation
network_cohesion | Measures of network cohesion or connectedness
network_components | Measures of network cohesion or connectedness
network_congruency | Measures of network closure
network_connectedness | Graph theoretic dimensions of hierarchy
network_core | Measures of network topological features
network_degree | Measures of degree-like centrality and centralisation
network_density | Measures of network cohesion or connectedness
network_diameter | Measures of network cohesion or connectedness
network_diversity | Measures of network diversity
network_dyad_census | Censuses of motifs at the network level
network_efficiency | Graph theoretic dimensions of hierarchy
network_eigenvector | Measures of eigenvector-like centrality and centralisation
network_equivalency | Measures of network closure
network_factions | Measures of network topological features
network_harmonic | Measures of closeness-like centrality and centralisation
network_hazard | Measures of network diffusion
network_heterophily | Measures of network diversity
network_immunity | Measures of network diffusion
network_indegree | Measures of degree-like centrality and centralisation
network_infection_length | Measures of network diffusion
network_length | Measures of network cohesion or connectedness
network_mixed_census | Censuses of motifs at the network level
network_modularity | Measures of network topological features
network_outdegree | Measures of degree-like centrality and centralisation
network_reach | Measures of closeness-like centrality and centralisation
network_reciprocity | Measures of network closure
network_reg | Linear and logistic regression for network data
network_reproduction | Measures of network diffusion
network_richclub | Measures of network topological features
network_richness | Measures of network diversity
network_scalefree | Measures of network topological features
network_smallworld | Measures of network topological features
network_spatial | Measures of network diversity
network_stability | Measures of network change
network_transitivity | Measures of network closure
network_transmissibility | Measures of network diffusion
network_triad_census | Censuses of motifs at the network level
network_upperbound | Graph theoretic dimensions of hierarchy
net_diffusion | Measures of network diffusion
node_adopter | Measures of nodes in a diffusion
node_adoption_time | Measures of nodes in a diffusion
node_alpha | Measures of eigenvector-like centrality and centralisation
node_automorphic_equivalence | Equivalence clustering algorithms
node_betweenness | Measures of betweenness-like centrality and centralisation
node_bridges | Measures of structural holes
node_brokerage_census | Censuses of brokerage motifs
node_brokering | Censuses of brokerage motifs
node_brokering_activity | Censuses of brokerage motifs
node_brokering_exclusivity | Censuses of brokerage motifs
node_census | Censuses of nodes' motifs
node_closeness | Measures of closeness-like centrality and centralisation
node_components | Component partitioning algorithms
node_constraint | Measures of structural holes
node_core | Core-periphery clustering algorithms
node_coreness | Core-periphery clustering algorithms
node_deg | Measures of degree-like centrality and centralisation
node_degree | Measures of degree-like centrality and centralisation
node_diffusion | Measures of nodes in a diffusion
node_diversity | Measures of network diversity
node_eccentricity | Measures of structural holes
node_edge_betweenness | Community partitioning algorithms
node_efficiency | Measures of structural holes
node_effsize | Measures of structural holes
node_eigenvector | Measures of eigenvector-like centrality and centralisation
node_equivalence | Equivalence clustering algorithms
node_exposure | Measures of nodes in a diffusion
node_fast_greedy | Community partitioning algorithms
node_flow | Measures of betweenness-like centrality and centralisation
node_fluid | Community partitioning algorithms
node_harmonic | Measures of closeness-like centrality and centralisation
node_heterophily | Measures of network diversity
node_hierarchy | Measures of structural holes
node_indegree | Measures of degree-like centrality and centralisation
node_induced | Measures of betweenness-like centrality and centralisation
node_infection_length | Measures of nodes in a diffusion
node_infomap | Community partitioning algorithms
node_information | Measures of closeness-like centrality and centralisation
node_kernighanlin | Community partitioning algorithms
node_leading_eigen | Community partitioning algorithms
node_leiden | Community partitioning algorithms
node_louvain | Community partitioning algorithms
node_multidegree | Measures of degree-like centrality and centralisation
node_neighbours_degree | Measures of structural holes
node_optimal | Community partitioning algorithms
node_outdegree | Measures of degree-like centrality and centralisation
node_pagerank | Measures of eigenvector-like centrality and centralisation
node_path_census | Censuses of nodes' motifs
node_posneg | Measures of degree-like centrality and centralisation
node_power | Measures of eigenvector-like centrality and centralisation
node_quad_census | Censuses of nodes' motifs
node_reach | Measures of closeness-like centrality and centralisation
node_reciprocity | Measures of network closure
node_redundancy | Measures of structural holes
node_regular_equivalence | Equivalence clustering algorithms
node_richness | Measures of network diversity
node_roulette | Clique partitioning algorithms
node_spinglass | Community partitioning algorithms
node_strong_components | Component partitioning algorithms
node_structural_equivalence | Equivalence clustering algorithms
node_thresholds | Measures of nodes in a diffusion
node_tie_census | Censuses of nodes' motifs
node_transitivity | Measures of network closure
node_triad_census | Censuses of nodes' motifs
node_walktrap | Community partitioning algorithms
node_weak_components | Component partitioning algorithms

## -- O --

over | Helper functions for measuring over splits of networks
over_time | Helper functions for measuring over splits of networks
over_waves | Helper functions for measuring over splits of networks

## -- P --

periods | Measures of network change

## -- R --

regression | Linear and logistic regression for network data

## -- T --

tests | Conditional uniform graph and permutation tests
test_gof | Conditional uniform graph and permutation tests
test_permutation | Conditional uniform graph and permutation tests
test_random | Conditional uniform graph and permutation tests
tie_betweenness | Measures of betweenness-like centrality and centralisation
tie_closeness | Measures of closeness-like centrality and centralisation
tie_cohesion | Measures of structural holes
tie_degree | Measures of degree-like centrality and centralisation
tie_eigenvector | Measures of eigenvector-like centrality and centralisation