đ Spatial Concept of Network Quality: Degrees of Separation from IXPs
This is Part 1 of a short series on Internet Exchange Points (IXPs) and why being âcloserâ to an IXPâmeasured in degrees of separation (hops)âis often a practical proxy for network quality.
If youâve heard âSix Degrees to Kevin Bacon,â this is the same idea applied to networks: instead of asking how many coâstar links connect an actor to Kevin Bacon, we ask how many network hops connect a home/business (via its local infrastructure) to the nearest IXP. That âIXP numberâ can be defined in multiple ways (logical, physical, weighted), but the intuition is the same: fewer steps usually means easier, higher quality access.
In network infrastructure, degrees of separation refer to the number of intermediate hopsâboth physical and logicalâbetween a secondary distribution node (like a school switch or neighborhood fiber cabinet) and an Internet Exchange Point (IXP). These degrees impact network quality in measurable ways, particularly performance, resilience, bandwidth efficiency, and autonomy.
Spatial Layers in the Network Path
| Layer | Example | Role in Separation |
|---|---|---|
| Premises / Endpoint | Home router, small business gateway, school LAN | Where demand originates; separation is measured from here outward |
| Local Access / Distribution | Neighborhood cabinet, OLT, school switch | First shared infrastructure; often the first âstep upâ from a single site |
| Aggregation Node | Township/city hub, county POP | Consolidates multiple access domains; a common place where paths become constrained |
| Regional Core | Metro ring, regional datacenter/router | High-capacity routing across a region; where multiple aggregation paths interconnect |
| Internet Exchange Point (IXP) | Equinix, DE-CIX, regional/state IXP | Peering fabric for exchanging traffic; typically the boundary between access and global |
Each layer introduces a spatial and logical hop. Fewer hops = better performance.
Three ways to measure âseparationâ
In network analysis, âdegrees of separationâ is essentially distance in a graph âbut in infrastructure work it helps to be explicit about which distance you mean. For IXP planning, there are three complementary definitions:
- Logical (routing) hops: Router-level or AS-level hop count to an IXP. This captures policy/peering structure and upstream dependencies.
- Physical (infrastructure) hops: Site/PoP/metro-layer transitions to an IXP. This captures where facilities and fiber aggregation actually occur.
- Weighted distance (experience): Shortest path where edges are weighted by latency, congestion, cost, or risk. This best reflects what homes and businesses feel.
You often want all three: if they disagree, that disagreement is usually diagnostic (e.g., a low-hop route that still has high latency suggests a long physical path or a routing detour).
Why It Matters
- Latency: Each hop adds delay. More separation = higher latency.
- Resilience: More hops = more potential points of failure.
- Bandwidth Efficiency: Shorter paths reduce congestion and packet loss.
- Autonomy: Fewer dependencies on upstream providers.
Spatial Thinking in Practice
You can model this using:
- Network graphs with weighted edges (e.g., latency, bandwidth)
- GIS overlays showing fiber routes, IXPs, and community nodes
- Semantic triples like:
Node_A â[connected_to]â Node_BNode_B â[distance_to]â IXP_X = 3 hops
This enables semantic-aware planning: prioritize upgrades where separation is highest and impact is greatest.
Community Impact
For smart schools, libraries, and public safety systems:
- Low separation â faster cloud access, real-time video, emergency alerts
- High separation â bottlenecks, especially in rural or underserved areas
Urban cores may be 2â3 hops from an IXP; rural areas may be 5â7 hops away.
Measuring equity (homes + businesses)
If the goal is not just âbetter on average,â but more equitable connectivity, it helps to treat network quality as a distribution across homes and businesses.
Credit: I learned the Gini coefficient framing and the HĂĄjek estimator approach for weighted estimation from Dr. Stilian Stoev (University of Michigan Statistics Department).
At the smallest planning scale (townships/cities), you can compute a local metric (e.g., median latency to the nearest IXP, or expected hop-count to the nearest IXP) and then evaluate how unevenly that metric is distributed across places.
- Gini coefficient (inequality): A compact way to summarize whether a small set of townships/cities carry most of the âdistance-to-IXP burden.â
- Weights (representation): Weight township/city metrics by the number of homes + businesses so the results reflect people and commerceânot just where measurement points happen to exist.
Summary
Network quality is spatially dependent. Reducing degrees of separation between local nodes and IXPs improves:
- Speed
- Reliability
- Autonomy
- Equity
This concept is essential for resilient digital infrastructure, especially in education, public safety, and community broadband planning.
Series navigation
- Part 1 (this post): Degrees of separation as a spatial concept
- Part 2: From Theory to Practice: Bridging the Gap Between IXPs and Network Algorithms
Related reading
- Bayesian decision layer: Finding the Digital Divide with Bayesian Networks