A Fuzzy Theory Based Topological Distance Measurement for Undirected Multigraphs

He, Jing; Chen, Jinjun; Huang, Guangyan; Guo, Mengjiao; Zhang, Zhiwang; Zheng, Hui; Li, Yunyao; Wang, Ruchuan; Fan, Weibei; Chi, Chi-Huang; Ding, Weiping; Souza, P. A. de; Chen, Bin; Li, Run-Wei; Shang, Jie; Zundert, André van

doi:10.1109/fuzz48607.2020.9177559

Cited by 1 publication

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“…A maximally independent vector set. It is defined as: Let S be a vector group, if it satisfies: (1) a 1 , a 2 , … , a r is linearly independent; (2) if any other vector in the space can be expressed as a linear combination of elements of a maximal set-the basis a 1 , a 2 , … , a r . Then A set of vectors is maximally linearly independent if including any other vector in the vector space would make it linearly dependent.…”

Section: Orcidmentioning

confidence: 99%

“…If m divides n, it can be represented as m|n. 2 The order of the factors will not affect the results. We have…”

mentioning

confidence: 99%

“…Check if the corresponding eigenvalue is equinumerous. 1,2 If not, produce the results that graphs G 1 and G 2 are not isomorphic.…”

mentioning

confidence: 99%

“…(11) Check if the maximum linearly independent system of the left and right singular vector of both vertex and edge adjacency matrices is equinumerous. 2 If not, produce the results that graphs G 1 and G 2 are not isomorphic. If so, produce the results that graphs G 1 and G 2 are isomorphic.…”

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confidence: 99%

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A polynomial‐time algorithm for simple undirected graph isomorphism

He¹,

Huang²,

Cao³

et al. 2021

Concurrency and Computation

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In the author list, "Ferry Sansoto" should be Ferry Susanto.• To reflect more accurately the contribution of the article, the title should be changed to "A permutation and equinumerosity based polynomial-time algorithm for simple undirected graph isomorphism."• In the abstract, the "Pythagorean Triples Theorem" should be removed.• In the abstract, "squared sums of elements" should be "nth power sums."

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Section: Orcidmentioning

confidence: 99%

“…If m divides n, it can be represented as m|n. 2 The order of the factors will not affect the results. We have…”

mentioning

confidence: 99%

“…Check if the corresponding eigenvalue is equinumerous. 1,2 If not, produce the results that graphs G 1 and G 2 are not isomorphic.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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