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Research map / Graph learning / Graph algorithms and clustering

Defending with Shared Resources on a Network

AAAI 2020 · Graph learning › Graph algorithms and clustering · approach: Graph distance and retrieval · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use LP feasibility tests with binary search in the single-threshold caseNetwork defending problem with LB_u = UB_u for every node · Single Threshold Modelrunning time: O(n^ω log n)Helped
Use a maximum-flow test with binary search in the isolated caseNetwork defending problem with w_uv = 0 for all edges · Isolated Modelrunning time: O(mn log n)Helped
Apply LP rounding with resource augmentationGeneral network defending problem · General network defending problemresource augmentation approximation ratio: 2-approximationHelped
Use LP rounding for the general problemGeneral network defending problem · General network defending problemrunning time: O(mn log n)Helped
Use LP rounding rather than an exact polynomial-time method for the general caseGeneral network defending problem · General network defending problemcomputational complexityMixed
Use resource augmentation instead of approximating the damage objective directlyGeneral network defending problem · General network defending problemapproximation guarantee for minimizing defending resultHurt
Allocate resources greedily to the currently vulnerable node rather than planning globallyGreedy · Isolated model, Greedy hard instancedefending result: 0 -> 10Hurt
Allocate resources greedily to the currently vulnerable node rather than planning globallyGreedy · Single Threshold Model, Greedy hard instancedefending result: 0 -> 10Hurt

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