In graph theory, LASCNN is a Localized Algorithm for Segregation of Critical/Non-critical Nodes The algorithm works on the principle of distinguishing between critical and non-critical nodes for network connectivity based on limited topology information. The algorithm finds the critical nodes with partial information within a few hops.
This algorithm can distinguish the critical nodes of the network with high precision, indeed, accuracy can reach 100% when identifying non-critical nodes. The performance of LASCNN is scalable and quite competitive compared to other schemes.
Pseudocode
The LASCNN algorithm establishes a k-hop neighbor list and a duplicate free pair wise connection list based on k-hop information. If the neighbors stay connected then the node is non-critical.
Function LASCNN(MAHSN) For ∀ A ∈ MAHSN If (A->ConnList.getSize() == 1) then A->SetNonCritical() = LEAF Else Continue = TRUE While (Continue == TRUE) Continue = FALSE For ∀ ActiveConn ∈ ConnList If (A∉ActiveConn) then If (A->ConnNeighbors.getSize() == 0) A->ConnNeighbors.add(ActiveConn) Continue = TRUE else If (ActiveConn ∩ ConnNeighbors == TRUE) ActiveConn ∪ ConnNeighbors Continue = TRUE Endif Endif Endif End For End While Endif If (A->ConnNeighbors.getSize() < A->Neighbors.getSize()) A->SetCritical() = TRUE else A->SetNonCritical() = INTERMEDIATE Endif End For End Function
Implementation
The Critical Nodes application is a Free Open-Source implementation for the LASCNN algorithm. The application was developed in 2013 using Programming Without Coding Technology software.
See also
- Connectivity (graph theory)
- Dynamic connectivity
- Strength of a graph
- Cheeger constant (graph theory)
- Critical point (network science)
- Depth-first search
- Breadth-first search
References
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- Mohammed Alnuem, Nazir Ahmad Zafar, Muhammad Imran, Sana Ullah, and Mahmoud S. Fayed. "Formal specification and validation of a localized algorithm for segregation of critical/noncritical nodes in MAHSNs." International Journal of Distributed Sensor Networks 10, no. 6 (2014): 140973
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