Node-weighted triangle detection can be solved in optimal O(MM(n)) time with a simpler algorithm than previous work.
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A weight-preserving reduction from undirected 2-FRP to SSRP establishes their computational equivalence and yields matching improved algorithms for 2-FRP.
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Node-Weighted Triangles: Faster and Simpler
Node-weighted triangle detection can be solved in optimal O(MM(n)) time with a simpler algorithm than previous work.
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Undirected Replacement Paths: Dual Fault Reduces to Single Source
A weight-preserving reduction from undirected 2-FRP to SSRP establishes their computational equivalence and yields matching improved algorithms for 2-FRP.
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