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Journal ArticleDOI

Induced H-packing k-partition of graphs

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TLDR
The induced -packing k-partition number is obtained for trees, slim trees, split graphs, complete bipartite graphs, grids and circulant graphs, and it is proved that an induced - packing k- partition problem is NP-Complete.
Abstract
The minimum induced H-packing k-partition number is denoted by i p p H ( G , H ) . The induced H-packing k-partition number denoted by i p p ( G , H ) is defined as i p p ( G , H ) = m i n i p p H ...

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References
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Book

Introduction to Parallel Algorithms and Architectures: Arrays, Trees, Hypercubes

TL;DR: This chapter discusses sorting on a Linear Array with a Systolic and Semisystolic Model of Computation, which automates the very labor-intensive and therefore time-heavy and expensive process of manually sorting arrays.
Book

Topological Structure and Analysis of Interconnection Networks

Jun-Ming Xu
TL;DR: This book provides the most basic problems, concepts, and well-established results from the topological structure and analysis of interconnection networks in the graph-theoretic language for undergraduates and postgraduates specializing in computer science and applied mathematics.
Journal ArticleDOI

A survey of the theory of hypercube graphs

TL;DR: A comprehensive survey of the theory of hypercube graphs can be found in this paper, where basic properties related to distance, coloring, domination and genus are reviewed, including thickness, coarseness, Hamiltonian cycles and induced paths.
Journal ArticleDOI

On induced matchings

TL;DR: An affirmative answer is given for d=3, the first nontrivial case of this conjecture that q ∗ (G)⩽d 2 , if G is a bipartite graph and d is the maximum degree of G.
Journal ArticleDOI

The locally twisted cubes

TL;DR: A simple routing algorithm is developed for LTQ n, which creates a shortest path from the source to the destination in O(n) time, and it is shown thatLTQ n consists of two disjoint copies of Q n −1 by adding a matching between their nodes.
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