Cohomology of digraphs and (undirected) graphs

By Alexander Grigorʼyan, Yong Lin, Yuri V. Muranov, Shing-Tung Yau. 2015

89 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/16b945a7a11118529d33782c005798955f3cc656

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Shing-Tung Yau
2. Yuri V. Muranov
3. Alexander Grigorʼyan
4. Alexander Grigor yan
5. Jie Wu
6. S. Ren

In Discrete Mathematics and Combinatorics

1. Yuri V. Muranov
2. Shing-Tung Yau
3. Alexander Grigorʼyan
4. Jie Wu

In Mathematical Physics

1. Shing-Tung Yau
2. Alexander Grigorʼyan
3. Yuri V. Muranov
4. Alexander Grigor yan
5. Jie Wu
6. S. Ren
7. Valentino Tosatti
8. Martin T. Barlow

Citations in the corpus

• Homologies of digraphs and Künneth formulas (2017, methodology): “This approach to the cohomology of digraphs, that is based on the classification of Bourbaki [4] of exterior derivations on algebras, was introduced by Dimakis and Müller-Hoissen in [6], [7] and further developed in [13].”
• The embedded homology of hypergraphs and applications (2016, methodology): “ect obtained by associating a direction with each edge of a graph. Since 2012, the homology theory of graphs and digraphs has attracted the attention of A. Grigor’yan, Y. Lin, Y. Muranov and S.T. Yau [8, 9, 10, 11, 12]. In this paper, by generalising [9] and using the associated simplicial complexes”