4 papers
Near-Optimal Replacement Path Coverings
Davide Bilò, Keerti Choudhary, Sarel Cohen +1
Let and be positive integers. An -replacement path covering (RPC) for a graph is a family of subgraphs such that, for every set of at most …
Simpler and Improved Replacement Path Coverings
Davide Bilò, Shiri Chechik, Keerti Choudhary +2
An important tool in the design of fault-tolerant graph data structures are -replacement path coverings (RPCs). An RPC is a family of subgraphs of a given grap…
Maximum-Flow and Minimum-Cut Sensitivity Oracles for Directed Graphs
Mridul Ahi, Keerti Choudhary, Shlok Pande +2
Given a digraph with a designated source , sink , and an -max-flow of value , we present constructions for max-flow and min-cut sensitivity oracles, a…
Efficient Algorithms for Disjoint Shortest Paths Problem and its Extensions
Keerti Choudhary, Amit Kumar, Lakshay Saggi
We study the 2-Disjoint Shortest Paths (2-DSP) problem: given a directed weighted graph and two terminal pairs and , decide whether there exist vertex-disjoi…