<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:content="http://purl.org/rss/1.0/modules/content/"><channel><title>Graph Algorithms on Jeanphilo Blog</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/</link><description>Recent content in Graph Algorithms on Jeanphilo Blog</description><generator>Hugo -- 0.159.2</generator><language>en-us</language><lastBuildDate>Mon, 09 Feb 2026 10:14:45 +0800</lastBuildDate><atom:link href="https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/index.xml" rel="self" type="application/rss+xml"/><item><title>Graph Algorithms Learning Path: From BFS to Graph Computation Models</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/00-graph-algorithms-learning-path/</link><pubDate>Mon, 09 Feb 2026 10:14:45 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/00-graph-algorithms-learning-path/</guid><description>A graph algorithms topic guide and recommended reading order covering BFS/DFS, reachability, shortest paths, CC/SCC, centrality, PageRank, community detection, subgraph matching, dynamic graphs, graph partitioning, and graph computation models.</description></item><item><title>Practical Graph Computation Models: How Pregel (BSP) and GAS Run PageRank/CC/Parallel BFS</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/110-graph-computation-models-pregel-gas-parallel-bfs/</link><pubDate>Mon, 09 Feb 2026 10:05:33 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/110-graph-computation-models-pregel-gas-parallel-bfs/</guid><description>An engineering implementation framework centered on graph computation models: core abstractions, synchronization semantics, performance boundaries of Pregel and GAS, plus implementation and selection guidance for PageRank/CC/parallel BFS.</description></item><item><title>Graph Partitioning Algorithms: Edge-cut vs Vertex-cut and an Engineering Guide to METIS</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/100-graph-partitioning-edge-cut-vertex-cut-metis/</link><pubDate>Mon, 09 Feb 2026 10:04:05 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/100-graph-partitioning-edge-cut-vertex-cut-metis/</guid><description>A practical graph partitioning guide for production graph databases, covering Edge-cut vs Vertex-cut, the core METIS workflow, runnable examples, and an engineering tuning checklist.</description></item><item><title>Dynamic Graphs and Incremental Computation: ACERS Guide to Incremental Shortest Path, Incremental PageRank, and Connectivity Maintenance</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/90-dynamic-graph-incremental-computation/</link><pubDate>Mon, 09 Feb 2026 10:00:28 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/90-dynamic-graph-incremental-computation/</guid><description>For real-world graph systems, this article systematically explains dynamic graph incremental algorithms: incremental shortest path, incremental PageRank, and connectivity maintenance. It focuses on three core engineering techniques: local recomputation, lazy updates, and approximate results.</description></item><item><title>Community Detection Primer: Engineering Trade-offs Between Louvain and Label Propagation - ACERS Analysis</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/80-community-detection-louvain-label-propagation/</link><pubDate>Mon, 09 Feb 2026 09:59:58 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/80-community-detection-louvain-label-propagation/</guid><description>Centered on three core community-detection use cases (group identification, graph partitioning, and cold-start analysis), this article explains Louvain and Label Propagation with principles, complexity, engineering trade-offs, and runnable multi-language implementations.</description></item><item><title>Subgraph Matching / Pattern Matching: VF2, Ullmann, and Engineering-Grade Pruning - ACERS Analysis</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/70-subgraph-matching-vf2-ullmann-and-pruning/</link><pubDate>Mon, 09 Feb 2026 09:59:16 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/70-subgraph-matching-vf2-ullmann-and-pruning/</guid><description>A systematic guide to Subgraph Isomorphism (NP-hard) and the core ideas of VF2/Ullmann, with emphasis on engineering reality: constrained pattern queries and candidate pruning usually matter more than the algorithm name itself.</description></item><item><title>The Graph Centrality Trio: Degree, Betweenness, and Closeness - ACERS Engineering Analysis</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/50-graph-centrality-degree-betweenness-closeness/</link><pubDate>Mon, 09 Feb 2026 09:56:11 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/50-graph-centrality-degree-betweenness-closeness/</guid><description>A systematic guide to the three core graph centrality metrics: Degree, Betweenness, and Closeness. The key engineering takeaway: most production systems prioritize Degree and approximate Betweenness, with clear complexity and rollout tradeoffs.</description></item><item><title>PageRank / Personalized PageRank: Node Importance and Incremental Updates in Graph Databases - ACERS Analysis</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/60-pagerank-and-personalized-pagerank/</link><pubDate>Mon, 09 Feb 2026 09:54:25 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/60-pagerank-and-personalized-pagerank/</guid><description>A systematic explanation of PageRank and Personalized PageRank, from iterative computation and sparse-matrix implementation to incremental update strategies, covering core graph-database scenarios such as recommendation and influence analysis.</description></item><item><title>k-hop and Reachability Queries: BFS Limits, Reachability Indexes, and 2-hop Labeling ACERS Analysis</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/30-k-hop-reachability-and-reach-index/</link><pubDate>Mon, 09 Feb 2026 09:52:17 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/30-k-hop-reachability-and-reach-index/</guid><description>A systematic engineering guide to k-hop and reachability queries: BFS+hop limits, why full transitive closure is usually not maintained, and practical bitmap/2-hop reach-index strategies with runnable multi-language code.</description></item><item><title>Connected Components and Strongly Connected Components: Tarjan / Kosaraju ACERS Engineering Analysis</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/40-connected-components-and-scc-tarjan-kosaraju/</link><pubDate>Mon, 09 Feb 2026 09:50:22 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/40-connected-components-and-scc-tarjan-kosaraju/</guid><description>A systematic guide to undirected Connected Components and directed SCCs, with emphasis on Tarjan (common in production) and Kosaraju, mapped to graph-database scenarios such as community pre-grouping, subgraph splitting, and partition hints.</description></item><item><title>Shortest Path Core Trio: BFS, Dijkstra, and A* ACERS Engineering Breakdown</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/20-shortest-path-bfs-dijkstra-astar-acers/</link><pubDate>Mon, 09 Feb 2026 09:48:00 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/20-shortest-path-bfs-dijkstra-astar-acers/</guid><description>A full engineering walkthrough of the shortest-path core trio: BFS for unweighted graphs, Dijkstra for non-negative weights, and heuristic A*. Includes multi-source BFS, bidirectional search, path pruning, and runnable multi-language templates.</description></item><item><title>BFS / DFS Engineering Primer: k-hop Queries, Subgraph Extraction, and Path Existence ACERS Breakdown</title><link>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/10-bfs-dfs-k-hop-subgraph-path-existence/</link><pubDate>Mon, 09 Feb 2026 09:44:11 +0800</pubDate><guid>https://shio-chan-dev.github.io/jeanblog/dev/algorithm/graph/10-bfs-dfs-k-hop-subgraph-path-existence/</guid><description>Centered on three high-frequency graph tasks (k-hop query, subgraph extraction, and path existence), this article explains practical BFS/DFS iteration templates, early-stop pruning, and visited bitmap/bloom choices with runnable multi-language implementations.</description></item></channel></rss>