The cyclic eigenvalue (π) is the largest absolute eigenvalue of the (generally asymmetric) adjacency matrix of a directed graph. It is zero if and only if the graph is acyclic konect.cc/statistics/max…

Dircted weighted dominance network between American bison (Bison bison) in 1972 on the National Bison Range in Moiese (Montana, USA) konect.cc/networks/moren…

Directed network of grooming episodes between free ranging rhesus macaques (Macaca mulatta) in Cayo Santiago (Puerto Rico) during a two month period in 1963 konect.cc/networks/moren…

The hop distribution of a network shows what proportion of node pairs are a certain distance apart konect.cc/plots/hopdistr/

Directed network of flights between US airports in 2010 konect.cc/networks/opsah…

Hyperlink networks are networks of pages on the World Wide Web or on other systems of linked knowledge, connected by hyperlinks; we have 197 of them konect.cc/categories/Hyp…

Directed social network of a bottlenose dolphin community (genus Tursiops) living off Doubtful Sound, a fjord in New Zealand [spelled fiord in New Zealand] (1994–2001) konect.cc/networks/dolph…

Crisis in a Cloister: Signed directed network of monks' opinions about other monks konect.cc/networks/moren…

European road network konect.cc/networks/subel…

Bipartite network of criminals and cases konect.cc/networks/moren…

Mesohaline trophic network of Chesapeake Bay, i.e., a who-eats-who network konect.cc/networks/dimac…

Directed network of dominance relationships between 28 female bighorn sheep (Ovis canadensis) on the National Bison Range in western Montana (USA), 1984 konect.cc/networks/moren…

The number of 4-stars (a.k.a. crosses) is called "x" in KONECT, and the network with highest value of x has x = 7.81707 × 10^26 of them (It's WebTrackers) konect.cc/statistics/fou…

Undirected network of contacts between suspected terrorists involved in the train bombing of Madrid on March 11, 2004 as reconstructed from newspapers konect.cc/networks/moren…

Network of chess game results. This network is both directed and signed (has +/− edges) konect.cc/networks/chess/

We have many Lorenz curves konect.cc/plots/lorenz/

Membership of 136 people in 5 organizations before the American Revolution konect.cc/networks/bruns…

New KONECT paper on arXiv: An alternative to those uninformative "hairball" graph visualizations (one of which is shown in the picture). SynGraphy: Succinct Summarisation of Large Networks via Small Synthetic Representative Graphs arxiv.org/abs/2302.07755