D. Fan, S. Goryainov, X. Huang, H. Lin, The spanning k-trees, perfect matchings and spectral radius of graphs, Linear Multilinear Algebra 70 (2022), 7264–7275. P ...

Properties of the colour-distribution in edge-colourings of graphs are examined. The results are applied in generalizing two theorems of Vizing and in proving the following for m = 5 and 7: If G is ...

Critical node detection investigates the identification of influential nodes whose removal, either accidental or deliberate, significantly diminishes network connectivity and overall performance. This ...

TigerGraph is releasing TigerGraph 3.2, including more than 40 critical enterprise features such as new availability, scalability, manageability, and security functionalities to ensure ...

A graph G is said to be Δ-edge-critical if it is not Δ-edge-colorable but every edge-deleted subgraph is Δ-edge-colorable. (Here and in the sequel Δ is the maximum degree of G.) At the time of the ...

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Graph technology has become a requirement for the modern enterprise. Companies in virtually every industry, from healthcare to energy to financial services, are applying the power of graph analytics ...