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Graph signatures: Identification and optimization
European Journal of Operational Research, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balabhaskar Balasundaram +2 more
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The Optimal Partitioning of Graphs
SIAM Journal on Applied Mathematics, 1976The problem considered in this paper is that of partitioning a link-weighted graph G into two parts, each of which is constrained in size by the (given) maximum number of vertices that the part can contain. This is a special case of the general partitioning problem of a graph into k parts with size constraints, which appears in a number of very diverse
Christofides, Nicos, Brooker, P.
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Bell System Technical Journal, 1975
Many important properties of switching networks can be effectively studied in the more general context of graph theory. In particular, the various rearrangeability properties of a network fall into this category. If G is a graph with vertex set V = I ∪ Ω, we say G is rearrangeable if, for all choices of distinct vertices, i 1 , i 2 , …, i 1 in I and j
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Many important properties of switching networks can be effectively studied in the more general context of graph theory. In particular, the various rearrangeability properties of a network fall into this category. If G is a graph with vertex set V = I ∪ Ω, we say G is rearrangeable if, for all choices of distinct vertices, i 1 , i 2 , …, i 1 in I and j
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Random Graphs and Graph Optimization Problems
SIAM Journal on Computing, 1980One major difficulty in analyzing algorithms for graph optimization problems is that the probabilistic behavior of the optimum solutions to most of the important problems is generally unknown. We present a general method for relating some well-known results regarding the probability of existence of certain subgraphs in random graphs to the ...
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Graph Optimal Monomorphism Algorithms
IEEE Transactions on Systems, Man, and Cybernetics, 1980The characterization of graph morphisms in terms of the subgraphs of the Cartesian graph product is extended and used to develop algorithms for an optimal graph monomorphism problem. The objective functional considered is defined as the sum of the weights associated with vertex and arc mappings.
David Ghahraman +2 more
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Information Processing Letters, 1998
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Jeng-Jung Wang +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeng-Jung Wang +2 more
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Optimal Mixed Graph Augmentation
SIAM Journal on Computing, 1987We consider an augmentation problem on mixed graphs that generalizes and unifies two augmentation problems considered by \textit{K. P. Eswaran} and \textit{R. E. Tarjan} [ibid. 5, 653-665 (1976; Zbl 0346.05112)]. The mixed augmentation problem has applications in the design of communication networks, and forms of mixed augmentation problem are central ...
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Optimal Graph Search with Iterated Graph Cuts
Proceedings of the AAAI Conference on Artificial Intelligence, 2011Informed search algorithms such as A* use heuristics to focus exploration on states with low total path cost. To the extent that heuristics underestimate forward costs, a wider cost radius of suboptimal states will be explored. For many weighted graphs, however, a small distance in terms of cost may encompass a large fraction of the ...
David Burkett +2 more
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Strict optimal rubbling of graphs
Discrete Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimization of hierarchical directed graphs
Computer Languages, 1981A machine- and language-independent representation for programs suitable for use within a compiler is presented. This representation is the hierarchical directed graph. Powerful code optimization techniques are presented in the context of this representation. An experimental optimizer has been built to validate the ideas discussed.
M. T. Lepage +2 more
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