Symmetric property and reliability of balanced hypercube

JX Zhou, ZL Wu, SC Yang… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Huang and Wu in IEEE Transactions on Computers 46 (1997) 484-490 introduced the
balanced hypercube BH_n as an interconnection network topology for computing systems …

On extra connectivity and extra edge-connectivity of balanced hypercubes

H Lü - International Journal of Computer Mathematics, 2017 - Taylor & Francis
The balanced hypercube BH n, as a new variation of the hypercube, possesses many
attractive properties such that the hypercube dose not have. Given a connected graph G and …

Super connectivity of balanced hypercubes

MC Yang - Applied Mathematics and Computation, 2012 - Elsevier
The reliability of an interconnection network is an important issue for multiprocessor
systems. In this paper, we study a reliability measure, called super connectivity, in the …

The super connectivity of exchanged hypercubes

M Ma, L Zhu - Information Processing Letters, 2011 - Elsevier
The exchanged hypercube EH (s, t) where s⩾ 1 and t⩾ 1 are two positive integers, proposed
by Loh et al.[The exchanged hypercube, IEEE Transactions on Parallel and Distributed …

Connectivity and super connectivity of folded hypercube-like networks

L Guo, GB Ekinci - Theoretical Computer Science, 2023 - Elsevier
We define a new class of graphs by generalizing the hypercube-like networks to folded
hypercube-like networks FH n. We also investigate the reliability of this class of graphs in …

The super connectivity of folded crossed cubes

X Cai, E Vumar - Information Processing Letters, 2019 - Elsevier
The n-dimensional folded crossed cube FCQ n is obtained from the crossed cube CQ n by
adding extra 2 n− 1 edges. The super connectivity (resp. super edge-connectivity) of a …

A new approach to finding the extra connectivity of graphs

Q Zhu, F Ma, G Guo, D Wang - Discrete Applied Mathematics, 2021 - Elsevier
The connectivity of a graph is the minimum number of nodes, whose removal will cause the
graph disconnected. It is one of the basic and important properties of the graph, and can be …

The restricted edge-connectivity and restricted connectivity of augmented k-ary n-cubes

R Lin, H Zhang - International Journal of Computer Mathematics, 2016 - Taylor & Francis
Augmented k-ary n-cube AQ n, k is proposed as a new interconnection network model by
Xiang and Steward [Augmented k-ary n-cubes, Inform. Sci. 181 (1)(2011), pp. 239–256]. For …

Fault tolerance of hypercubes and folded hypercubes

L Guo, X Guo - The Journal of Supercomputing, 2014 - Springer
Abstract Let G=(V, E) G=(V, E) be a connected graph. The conditional edge connectivity λ _
δ^ k (G) λ δ k (G) is the cardinality of the minimum edge cuts, if any, whose deletion …

On the super connectivity of direct product of graphs

F Soliemany, M Ghasemi, R Varmazyar - RAIRO-Operations Research, 2022 - rairo-ro.org
A vertex-cut S is called a super vertex-cut if G− S is disconnected and it contains no isolated
vertices. The super-connectivity, κ′, is the minimum cardinality over all super vertex-cuts …