PageRank and web ecosystem centrality: map without overinterpreting

A map starts with a question, seed sites, inclusion and exclusion rules, depth and date. It represents the arena actually collected rather than the whole web or market.

The denominator remains visible: sites actually crawled, domains only referenced, retained link types and missing content. Changing these choices changes the graph and its centralities.

• Investigation question
• Justified seed sites
• Collection and exclusion rules
• Depth, volume and date
• Stable node and edge granularity

In a web arena, a node may represent a domain and an edge A → B may mean that A cites B. Co-citations, edge direction and any weight convention must be explained before reading a rank.

Centrality is never independent of the model. Aggregating by domain rather than page, weighting a relationship or expanding collection can change the order even when no real actor has changed.

PageRank recursively distributes importance through incoming-link structure. Betweenness measures the share of shortest paths passing through a node. Harmonic centrality sums reciprocal distances and remains useful in graphs that are not fully connected.

Louvain heuristically searches for a partition that increases modularity, then aggregates communities and repeats. The result depends on the graph, weights, resolution and processing order; it describes structural groups, not real organisations, segments or coalitions.

Centrality is relative to the corpus and calculation convention. It does not directly measure truth, editorial quality, commercial reputation, traffic or decision power.

A missing result means the measure was not calculated or did not yield a usable value; it must not be replaced with zero. Comparisons over time require the same granularity, rules and documented parameters.

• Centrality ≠ quality
• Rank ≠ causality
• Community ≠ real organisation
• No link ≠ no relationship
• Not calculated ≠ zero

Central nodes, bridges and poorly covered areas help select what to verify: dependence on a few sources, a missing actor, a passage between communities or an under-documented topic. They direct the investigation rather than settle it.

For SEO and GEO, a gap weighted by arena centrality can prioritise editorial research. It does not guarantee ranking, traffic or citation by a search engine or assistant.

1. 01

   1. Detect

   Identify a rank, bridge or low-coverage area.

2. 02

   2. Return to the corpus

   Retrieve the links, documents and rules producing the signal.

3. 03

   3. Seek contradiction

   Add independent sources and missing actors.

4. 04

   4. Decide

   Record what the signal changes, does not change and when to review it.

Nexus is an Innovatio workspace outside the seven-workspace Innovatio Decision Suite. It structures bounded web investigations, calculates PageRank and betweenness, and retains provenance in JSON or GEXF exports. Harmonic centrality and Louvain remain complementary methodological references here and are not presented as calculations performed by Nexus.

The scope depends on the corpus, collection rules and analysis date. It assumes neither unlimited collection nor systematic Atlas integration. Calculations guide human investigation; they do not make an autonomous decision.