A Game Theoretic Approach For Core Resilience

Authors: Sourav Medya, Tiyani Ma, Arlei Silva, Ambuj Singh

IJCAI 2020 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental Our experiments show that the proposed algorithm outperforms competing solutions in terms of k-core minimization while being able to handle large graphs. Moreover, we illustrate how KCM can be applied in the analysis of the kcore resilience of networks.
Researcher Affiliation Academia Sourav Medya1 , Tiyani Ma2 , Arlei Silva3 and Ambuj Singh3 1Northwestern University 2University of California Los Angeles 3University of California Santa Barbara
Pseudocode Yes Algorithm 1: Greedy Cut (GC) Input: G, k, b Output: B: Set of edges to delete; Algorithm 2: Shapley Value Based Cut (SV) Input: G, k, b, Γ Output: B: Set of edges to delete
Open Source Code No The paper does not provide an explicit statement about releasing source code for the described methodology or a link to a code repository.
Open Datasets Yes The real datasets are available online and are mostly from SNAP1. The Facebook dataset is from [Viswanath et al., 2009]. Table 1 shows dataset statistics, including the largest k-core (a.k.a. degeneracy). We also apply a random graph (ER) generated using the Erdos-Renyi model.
Dataset Splits No The paper does not explicitly specify training, validation, and test dataset splits with percentages or sample counts.
Hardware Specification Yes All the experiments were conducted on a 2.59 GHz Intel Core i7-4720HQ machine with 16 GB RAM running Windows 10.
Software Dependencies No The paper states 'Algorithms were implemented in Java.' but does not provide specific version numbers for Java or any other software dependencies like libraries or frameworks.
Experiment Setup Yes Default parameters: We set the candidate edge set Γ to those edges (Mk(G)) between vertices in the k-core Ck(G). Unless stated otherwise, the value of the approximation parameter for SV (ϵ) is 0.05 and the number of samples is (ℓ+1) log |Γ|/2ϵ2.