Number Of Edges In Subgraph Research Articles

Estimates of the Number of Edges in Subgraphs of Johnson Graphs

Estimates of the Number of Edges in Subgraphs of Johnson Graphs

Estimates of the Number of Edges in Subgraphs of Johnson Graphs

В работе мы рассматриваем специальные дистанционные графы и оцениваем число ребер в их подграфах. Полученные оценки улучшают известные результаты. Библиография: 19 названий.

Lower Bound on the Minimum Number of Edges in Subgraphs of Johnson Graphs

Lower Bound on the Minimum Number of Edges in Subgraphs of Johnson Graphs

Estimate of the Number of Edges in Subgraphs of a Johnson Graph

New estimates for the minimum number of edges in subgraphs of a Johnson graph are obtained.

An Optimal Algorithm for Enumerating Connected Convex Subgraphs in Acyclic Digraphs

Reconfigurable computing system is emerging as an important computing system for satisfying the present and future computing demands in performance and flexibility. Extensible processor is a representative implementation of reconfigurable computing. In this context, custom instruction enumeration problem is one of the most computationally difficult problems involved in custom instruction synthesis for extensible processors. Custom instruction enumeration problem is essentially enumerating connected convex subgraphs from a given application graph. In this brief, we propose a provable optimal algorithm for enumerating connected convex subgraphs in acyclic digraphs in the sense of time complexity. The running time of the proposed algorithm is theoretically proved to be O(Σ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">C∈CC(G)</sub> (|V(C)|+|E(C)|)), where CC(G) denotes the set of connected convex subgraphs in directed acyclic graph G, |V(C)| and |E(C)| denote the number of vertices and the number of edges in subgraph C respectively. Experimental results show that the proposed algorithm is more efficient than the state-of-the-art algorithms in terms of runtime.

Estimate of the Number of Edges in Special Subgraphs of a Distance Graph

The classical problem of estimating the number of edges in a subgraph of a special distance graph is considered. Old results are significantly improved.

On the Number of Edges in Induced Subgraphs of a Special Distance Graph

В работе получены новые оценки числа ребер в индуцированных подграфах специального дистанционного графа. Библиография: 21 название.