Graph-Based Cybersecurity

  1. Graph Analytics for Cybersecurity
    1. Path Analysis Techniques
      1. Shortest Path Algorithms
        1. Dijkstra's Algorithm
          1. Algorithm Implementation
            1. Complexity Analysis
              1. Security Applications
              2. Bellman-Ford Algorithm
                1. Negative Weight Handling
                  1. Use Cases in Security
                  2. A* Search Algorithm
                    1. Heuristic Design
                      1. Attack Path Discovery
                    2. Multi-Path Analysis
                      1. All-Pairs Shortest Paths
                        1. K-Shortest Paths
                          1. Alternative Path Discovery
                          2. Security-Specific Path Analysis
                            1. Attack Path Identification
                              1. Lateral Movement Tracing
                                1. Privilege Escalation Chains
                                  1. Data Exfiltration Paths
                                    1. Blast Radius Calculation
                                  2. Centrality and Importance Analysis
                                    1. Centrality Measures
                                      1. Degree Centrality
                                        1. Calculation Methods
                                          1. Interpretation in Security
                                          2. Betweenness Centrality
                                            1. Algorithm Implementation
                                              1. Choke Point Identification
                                              2. Closeness Centrality
                                                1. Accessibility Metrics
                                                  1. Communication Efficiency
                                                  2. Eigenvector Centrality
                                                    1. Influence Propagation
                                                      1. PageRank Variations
                                                    2. Security Applications
                                                      1. Critical Asset Identification
                                                        1. Key Player Analysis
                                                          1. Vulnerability Prioritization
                                                            1. Network Bottleneck Detection
                                                          2. Community Detection and Clustering
                                                            1. Community Detection Algorithms
                                                              1. Modularity-Based Methods
                                                                1. Louvain Algorithm
                                                                  1. Leiden Algorithm
                                                                  2. Hierarchical Clustering
                                                                    1. Girvan-Newman Algorithm
                                                                      1. Divisive vs Agglomerative
                                                                      2. Label Propagation Methods
                                                                        1. Spectral Clustering
                                                                        2. Security Applications
                                                                          1. Network Segmentation Analysis
                                                                            1. User Group Discovery
                                                                              1. Malware Family Clustering
                                                                                1. Anomalous Community Detection
                                                                              2. Pattern Matching and Subgraph Analysis
                                                                                1. Subgraph Isomorphism
                                                                                  1. Exact Matching Algorithms
                                                                                    1. Approximate Matching Techniques
                                                                                    2. Motif Discovery
                                                                                      1. Frequent Subgraph Mining
                                                                                        1. Anomalous Pattern Detection
                                                                                        2. Security Pattern Libraries
                                                                                          1. Attack Pattern Templates
                                                                                            1. MITRE ATT&CK Mapping
                                                                                              1. Threat Technique Patterns
                                                                                              2. Query-Based Pattern Matching
                                                                                                1. Graph Query Languages
                                                                                                  1. Rule-Based Detection Systems
                                                                                                2. Similarity and Prediction Analysis
                                                                                                  1. Node Similarity Measures
                                                                                                    1. Structural Similarity
                                                                                                      1. Attribute-Based Similarity
                                                                                                        1. Neighborhood Similarity
                                                                                                        2. Security Applications
                                                                                                          1. Threat Actor Similarity
                                                                                                            1. Malware Variant Detection
                                                                                                              1. Future Attack Prediction

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                                                                                                          3. Cybersecurity Domain Modeling

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                                                                                                          5. Core Security Applications