A complete classification of which (n,k)(n,k)(n,k)-star graphs are Cayley graphs (original) (raw)

A conjecture on determining which (n,k)(n,k)(n,k)-star graphs are not Cayley graphs

Laszlo Liptak

arXiv (Cornell University), 2017

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The (n, k)-star graph: A generalized star graph

Wei-Kuo Chiang

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Analysis of a Class of Networks Based on Cubic Star Graphs

S Lakshmivarahan

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One-to-Many Embeddings of Hypercubes into Cayley Graphs Generated by Reversals

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Theory of Computing Systems, 2001

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Combinatorial results on the Extended Star graph with Cross Connections

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A Comparative Study of Star Graphs and Rotator Graphs

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Jaime Caro

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Near embeddings of hypercubes into Cayley graphs on the symmetric group

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Ayat Neamah

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1995

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Frontiers of High Performance Computing and Networking – ISPA 2006 Workshops, 2006

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A New Family of Cayley Graph Interconnection Networks of Constant Degree Four

Premkumar Vadapalli

IEEE Transactions on Parallel and Distributed Systems, 1996

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Bounded Dilation Maps of Hypercubes into Cayley Graphs on the Symmetric Group

Zevi Miller, Dan Pritikin

Mathematical Systems Theory, 1996

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The property of edge-disjoint Hamiltonian cycles in transposition networks and hypercube-like networks

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A comparative study of topological properties of hypercubes and star graphs

Anand Tripathi

IEEE Transactions on Parallel and Distributed Systems, 1994

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Some Structure Theory for Cayley Graphs and Associated Hypergraphs

Felix Canavoi

2019

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One-to-many node-disjoint paths in (n, k)-star graphs

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Macro-star networks: efficient low-degree alternatives to star graphs

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Analytic performance comparison of hypercubes and star graphs with implementation constraints

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Critical Analysis on the Classical Topological Properties of the Star Graph, Hypercube and Perfect Difference Network for Distributed Systems

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Graphs which Locally Mirror the Hypercube Structure

Jack Koolen

Information Processing Letters, 1999

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A survey of the theory of hypercube graphs

Horng Wu

Computers & Mathematics With Applications, 1988

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On the spanning trees of the hypercube and other products of graphs

Olivier Bernardi

arXiv (Cornell University), 2012

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Large "De Bruijn" Cayley graphs and digraphs

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Efficient dominating sets in Cayley graphs

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Discrete Applied Mathematics, 2003

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Trivalent Cayley Graphs for Interconnection Networks

Premkumar Vadapalli

Information Processing Letters, 1995

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On the connectivity of cayley graphs

Wilfried Imrich

Journal of Combinatorial Theory, Series B, 1979

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Unpaired many-to-many disjoint path covers in restricted hypercube-like graphs

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A Class of Arc-Transitive Cayley Graphs as Models for Interconnection Networks

Sanming Zhou

SIAM Journal on Discrete Mathematics, 2009

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On prime Cayley graphs

Ján Mináč

arXiv (Cornell University), 2024

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The Signed Star Domination Number of Cayley Graphs

Dr. T. Tamizh Chelvam

Discrete Mathematics, Algorithms and Applications, 2012

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Paired many-to-many disjoint path covers in restricted hypercube-like graphs

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