The congestion of \(n\)-cube layout on a rectangular grid

From MaRDI portal
Publication:1970694

DOI10.1016/S0012-365X(99)00162-4zbMath0953.68115OpenAlexW1983901430MaRDI QIDQ1970694

M. Röttger, Sergei L. Bezrukov, J. D. Chavez, U.-P. Schroeder, Lawrence H. Harper

Publication date: 22 June 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(99)00162-4




Related Items (43)

Minimal congestion treesOptimal wavelength assignment in the implementation of parallel algorithms with ternary \(n\)-cube communication pattern on mesh optical networkWirelength of enhanced hypercubes into \(r\)-rooted complete binary treesEmbeddings of circulant networksLayout of embedding locally twisted cube into the extended theta mesh topologyCutwidth of triangular gridsExact Wirelength of Embedding 3-Ary n-Cubes into Certain Cylinders and TreesEmbedding hypercubes into cylinders, snakes and caterpillars for minimizing wirelengthMinimum average congestion of enhanced and augmented hypercubes into complete binary treesIsoperimetric Problem and Meta-fibonacci SequencesWirelength of \(1\)-fault Hamiltonian graphs into wheels and fansEmbedding Wheel - like NetworksA linear time algorithm for embedding locally twisted cube into grid network to optimize the layoutOn the monotonicity of games generated by symmetric submodular functions.Embedding of hypercubes into necklace, windmill and snake graphsOptimal Embedding of Locally Twisted Cubes into GridsOn the optimal layout of balanced complete multipartite graphs into grids and tree related structuresRouting and wavelength assignment for exchanged hypercubes in linear array optical networksLINEAR LAYOUT OF GENERALIZED HYPERCUBESRouting and wavelength assignment for hypercube in array-based WDM optical networksBothway embedding of circulant network into gridEdge-pancyclicity and path-embeddability of bijective connection graphsOn tree congestion of graphsEmbedding hypercubes and folded hypercubes onto Cartesian product of certain treesLinear wirelength of folded hypercubesEfficient embeddings of grids into gridsWirelength of hypercubes into certain treesMinimum congestion spanning trees in planar graphsLinear layout of locally twisted cubesA linear time algorithm for embedding hypercube into cylinder and torusMaximum incomplete recursive circulants in graph embeddingsNode set optimization problem for complete Josephus cubesLinear layout of directed grid graphEmbedding of recursive circulants into certain necklace graphsBounds on isoperimetric values of treesThe cyclic cutwidth of treesExact wirelength of hypercubes on a gridEmbedding algorithm of spined cube into grid structure and its wirelength computationOptimal Wirelength of Balanced Complete Multipartite Graphs onto Cartesian Product of {Path, Cycle} and TreesOn spanning tree congestion of graphsOn spanning tree congestionSquare-root rule of two-dimensional bandwidth problemOn the area of hypercube layouts.






This page was built for publication: The congestion of \(n\)-cube layout on a rectangular grid