The most connections ever followed in a second

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410,266 billion edges a second

Held by eos-dfw. Set 2025-11-18, and has stood for 315 days. Written down here 2026-09-14.

A graph is a set of things and the connections between them: people and who they know, pages and what they link to, accounts and what they paid. Searching one means starting somewhere and following every connection outward, and it is about the least convenient thing a large computer can be asked to do. The arithmetic this site measures elsewhere is regular - the numbers sit in a row, and the machine knows where the next one is long before it needs it. A graph search knows nothing until it arrives: every step is a fetch from an unpredictable place in a memory that may be in another cabinet, and the machine spends its life waiting rather than calculating. So the order here is not the order on the arithmetic lists, and that is the entire point of publishing it. In November 2025 the top of this list changed hands from a Japanese supercomputer, which had held it for years, to a commercial cluster of graphics cards in a Dallas datacentre, and the figure doubled. One caution about comparing rows: the list does not adjust for the size of the graph, and that new leader searched one a quarter the size of the one it displaced.

That description was written when this frontier was opened, on 2026-09-14, and is never rewritten. Where it and the number above it disagree, the number is the reading and the description is history.

What counts

The largest figure in the GTEPS column of the Graph 500's Complete Results list - how many edges of a graph a machine walks per second while searching it breadth-first, in billions. The list is ranked on that column, so the largest figure is usually the top row, but the reading is taken by sorting the column and never by trusting the rank. Two things the list does not do, both of which belong on the number rather than under it: it does not adjust for how large the graph was, and entries are not all at the same size; and it keeps older entries for machines that have since posted better ones, so the maximum is an all-time figure rather than this season's.

What moves it

A new Graph 500 list is published - twice a year, at the ISC and SC conferences - carrying a submission that walks more edges a second than any figure the list already holds.

Where to check it: https://graph500.org/?page_id=238

Last checked: 2026-09-26

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