https://vinhmdev.com/topics/graph-theory/Recent content in Graph Theory on VinhMDevHugoenThu, 30 Apr 2026 00:00:00 +0000https://vinhmdev.com/posts/paper-04-scale-free-networks-the-geometry-of-power-laws/Thu, 30 Apr 2026 00:00:00 +0000https://vinhmdev.com/posts/paper-04-scale-free-networks-the-geometry-of-power-laws/<p> <figure> <picture class="mx-auto my-0 rounded-md" > <source srcset="https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_25d91b16e15705e0.webp 330w,https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_75d233cbbb1a5734.webp 660w ,https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_45e2cb65470e8eb2.webp 1024w ,https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_abc5a80ccb65a8df.webp 1320w " sizes="100vw" type="image/webp" /> <img width="2752" height="1536" class="mx-auto my-0 rounded-md" alt="An analysis of how continuous growth and preferential attachment inevitably lead to the formation of scale-free networks and hidden hubs in microservice architectures." loading="lazy" decoding="async" src="https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_eedc8d25e37ad548.jpg" srcset="https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_4d4001c6a89a1065.jpg 330w,https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_eedc8d25e37ad548.jpg 660w ,https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_35130d100b624b68.jpg 1024w ,https://vinhmdev.com/The-Microservice-Decentralization-Myth_8082241601878043092_hu_d698cd3c29a14.jpg 1320w " sizes="100vw" /> </picture> </figure> </p> <h2 id="i-abstract" class="relative group">I. Abstract <span class="absolute top-0 w-6 transition-opacity opacity-0 -start-6 not-prose group-hover:opacity-100"><a class="group-hover:text-primary-300 dark:group-hover:text-neutral-700" style="text-decoration-line: none !important;" href="#i-abstract" aria-label="Anchor">#</a></span></h2><blockquote> <p>Microservices are sold on a comforting promise: break the monolith, distribute the load, isolate the failures. The Barabási-Albert model says otherwise. Architectures grow through <em>preferential attachment</em>, and that growth produces a heavy-tailed power-law degree distribution every time. The fallout is structural: distributed systems inevitably spawn <strong>Hidden Hubs</strong> — bottlenecks no one architected, but which exert a kind of systemic gravity. Manage the gravity, or the system manages you.</p>