ON CONDITIONAL EDGE-CONNECTIVITY OF GRAPHS RegularGraphsconnectivityconditionalconnectivityhypercubesLet k and h be two integers, 0≤h徐俊明Acta Mathematicae Applicatae Sinica(English Series)
In this paper, the minimum degree of power graphs of certain classes of cyclic groups, abelian $p$-groups, dihedral groups and dicyclic groups are obtained. It is ascertained that the edge-connectivity and minimum degree of power graphs are equal, and consequently the minimum disconnecting sets...
A cyclic edge-cut of a graphGis an edge set, the removal of which separates two cycles. IfGhas a cyclic edge-cut, then it is said to be cyclically separable. For a cyclically separable graphG, the cyclic edge-connectivityλc(G)is the cardinality of a minimum cyclic edge-cut ofG. Let...
Westbrook. Maintaining the classes of 4-edge-connectivity in a graph on-line. Algorithmica, 20:242-276, 1998.Y. Dinitz and J. Westbrook. Maintaining the classes of 4-edge-connectivity in a graph on-line. Algorithmica , 20:242–276, 1998. MATH MathSciNet...
On strong Menger-connectivity of star graphs Discrete Applied Mathematics (2003) P. Cull et al. The Möbius cubes IEEE Transactions on Computers (1995) K. Efe The crossed cube architecture for parallel computing IEEE Transactions on Parallel and Distributed Systems (1992) There are more references...
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2. Some properties of n-dimensional hypercube-like networks 3. Edge fault-tolerant strong Menger edge connectivity of hypercube-like networks 4. Conditional edge-fault-tolerant strong Menger edge connectivity of hypercube-like networks 5. Conditional fault-tolerant strong Menger connectivity of hypercube...
Also, the edge-vertex degree of the edge e = uv, dvG(e), equals to the number of vertices of the union of the open neighborhood of u and v. In this paper, the vertex-edge connectivity index, v, and the edge-vertex connectivity index, e, of a graph G were introduced. These are...
Literature of Deep Learning for Graphs This is a paper list about deep learning for graphs. Sort by topic Sort by venue 1 Node Representation Learning 1.1 Unsupervised Node Representation Learning 1.2 Node Representation Learning in Heterogeneous Graphs 1.3 Node Representation Learning in Dynamic Graphs...