A Group-Theoretic Model for Symmetric Interconnection Networks
IEEE Transactions on Computers
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
On some properties and algorithms for the star and pancake interconnection networks
Journal of Parallel and Distributed Computing
Optimal communication algorithms on star graphs using spanning tree constructions
Journal of Parallel and Distributed Computing
Embedding an Arbitrary Binary Tree into the Star Graph
IEEE Transactions on Computers
Optimal Information Dissemination in Star and Pancake Networks
IEEE Transactions on Parallel and Distributed Systems
Fault-Free Hamiltonian Cycles in Faulty Arrangement Graphs
IEEE Transactions on Parallel and Distributed Systems
Near Embeddings of Hypercubes into Cayley Graphs on the Symmetric Group
IEEE Transactions on Computers
Optimal Broadcasting on the Star Graph
IEEE Transactions on Parallel and Distributed Systems
A Comparative Study of Topological Properties of Hypercubes and Star Graphs
IEEE Transactions on Parallel and Distributed Systems
A Parallel Algorithm for Computing Fourier Transforms on the Star Graph
IEEE Transactions on Parallel and Distributed Systems
Graph Theory With Applications
Graph Theory With Applications
The super connectivity of the pancake graphs and the super laceability of the star graphs
Theoretical Computer Science
A comparative study of job allocation and migration in the pancake network
Information Sciences: an International Journal
A study of fault tolerance in star graph
Information Processing Letters
Hamiltonian laceability of bubble-sort graphs with edge faults
Information Sciences: an International Journal
Embedding meshes into crossed cubes
Information Sciences: an International Journal
Proof that pyramid networks are 1-Hamiltonian-connected with high probability
Information Sciences: an International Journal
Node-disjoint paths in hierarchical hypercube networks
Information Sciences: an International Journal
Conditional fault-tolerant hamiltonicity of star graphs
Parallel Computing
The m-pancycle-connectivity of a WK-Recursive network
Information Sciences: an International Journal
Constructing vertex-disjoint paths in (n, k)-star graphs
Information Sciences: an International Journal
Robustness of star graph network under link failure
Information Sciences: an International Journal
Substar Reliability Analysis in Star Networks
Information Sciences: an International Journal
Embedding Hamiltonian cycles in alternating group graphs under conditional fault model
Information Sciences: an International Journal
Fault-free longest paths in star networks with conditional link faults
Theoretical Computer Science
Conditional fault hamiltonian connectivity of the complete graph
Information Processing Letters
Optimal fault-tolerant Hamiltonicity of star graphs with conditional edge faults
The Journal of Supercomputing
Longest fault-free paths in hypercubes with vertex faults
Information Sciences: an International Journal
Distance formula and shortest paths for the (n,k)-star graphs
Information Sciences: an International Journal
Improving bounds on link failure tolerance of the star graph
Information Sciences: an International Journal
Properties of a hierarchical network based on the star graph
Information Sciences: an International Journal
A combinatorial study of substar reliability of the star network
International Journal of High Performance Systems Architecture
Fault-tolerant edge-pancyclicity of locally twisted cubes
Information Sciences: an International Journal
Edge-bipancyclicity of star graphs with faulty elements
Theoretical Computer Science
Diagnosability of star graphs with missing edges
Information Sciences: an International Journal
Hamiltonian connectivity of 2-tree-generated networks
Mathematical and Computer Modelling: An International Journal
Matching preclusion and conditional matching preclusion for regular interconnection networks
Discrete Applied Mathematics
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The star graph possess many nice topological properties. Edge fault tolerance is an important issue for a network since the edges in the network may fail sometimes. In this paper, we show that the n-dimensional star graph is (n - 3)-edge fault tolerant hamiltonian laceable, (n - 3)-edge fault tolerant strongly hamiltonian laceable, and (n - 4)- edge fault tolerant hyper hamiltonian laceable. All these results are optimal in a sense described in this paper.