parallel graph algorithm

**Parallel Graph Algorithms** — processing large-scale graphs (social networks, web graphs, road networks) using parallel hardware, challenging because graphs have irregular access patterns and poor data locality. **Why Graphs Are Hard to Parallelize** - Irregular structure: Unlike arrays, no predictable access pattern - Poor locality: Following edges jumps randomly through memory - Load imbalance: Some vertices have millions of edges, others have few - Data dependencies: BFS levels, shortest paths have sequential dependencies **Key Parallel Graph Algorithms** **Parallel BFS** - Level-synchronous: Process all vertices at current level in parallel - Each level: For all frontier vertices, explore neighbors → build next frontier - GPU-accelerated BFS can process billion-edge graphs in seconds **Parallel PageRank** - Iterative: Each vertex updates its rank based on neighbors' ranks - All vertex updates within an iteration are independent → parallel - GPU implementation: 10–100x faster than single-thread CPU **Graph Frameworks** - **Gunrock**: GPU graph analytics library. Push/pull traversal strategies - **GraphBLAS**: Express graph algorithms as sparse matrix operations - **Pregel/Giraph**: Vertex-centric distributed graph processing - **DGL / PyG**: Graph neural network frameworks (GPU-accelerated) **Representation Matters** - CSR (Compressed Sparse Row): Good for GPU — coalesced row access - Edge list: Good for streaming/sorting-based algorithms - Adjacency matrix: Only for dense graphs (sparse wastes memory) **Graph parallelism** is an active research area — no single approach dominates due to the diversity of graph structures and algorithms.

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