Color,Training,Resource management,Registers,Image color analysis,Approximation algorithms,InterferenceGraph-coloring is an NP-hard problem which has a myriad of applications. Register allocation, which is a crucial phase of a good optimizing compiler, relies on graph coloring. Hence, an efficient graph...
Klein, P., Lu, H.-I.: Efficient approximation algorithms for semidefinite programs arising from MAX CUT and COLORING. In: Proceedings of the Twenty-eighth Annual ACM Symposium on the Theory of Computing, Philadelphia, PA, pp. 338–347. ACM, New York (1996) Google Scholar Klein, P., Lu...
We present an approximation algorithm for graph coloring which achieves a performance guarantee of O(n(log logn)2(logn)3), a factor of log log n improvement.Access through your organization Check access to the full text by signing in through your organization. Access through your organization ...
Given a graph\(G=(V,E)\), the goal of graph coarsening is to find a smaller graph\(G_c=(V_c,E_c)\)with\(n_c\)nodes and\(m_c\)edges, where\(n_c < n\), which is a good approximation ofGin some sense. Specifically, we would like the coarse graph to provide a faithful...
Moreover, it demonstrates the optimal approximation ratios to the optimal solutions that the most powerful GNN can reach. It also proves that most of existing GNN models cannot exceed this upper bound. Furthermore, it adds coloring to the node feature to improve the approximation ratios. 8.1.7...
展开 关键词: computational complexity graph colouring algorithmic graph minor theory approximation algorithm combinatorial polylogarithmic approximation constant-factor approximation graph algorithm graph coloring half-integral multicommodity flow largest grid minor DOI...
Applying Graph Coloring to Incomplete-LU factorization The incomplete-LU factorization is an algorithm that approximately factors a large sparse matrix into lower and upper triangular matrices, so that This approximation is later used as an iterative method preconditioner or an algebraic multigrid smoother...
Coloring Graph Neural Networks for Node Disambiguation. IJCAI 2020. paper. Xuan Lin, et al. KGNN: Knowledge Graph Neural Network for Drug-Drug Interaction Prediction. IJCAI 2020. paper. Yuan Zhuang, et al. Smart Contract Vulnerability Detection using Graph Neural Network. IJCAI 2020. paper...
We present the first location-oblivious distributed unit disk graph coloring algorithm having a provable performance ratio of three (i.e. the number of colors used by the algorithm is at most three times the chromatic number of the graph). This is an improvement over the standard sequential col...
Biquadratic assignment problem; Graph coloring; Graph planarization; Greedy randomized adaptive search procedures; Quadratic assignment problem; Quadratic semi-assignment problem; Three-index assignment problem Biquadratic assignment problem; Graph coloring; Graph planarization; Greedy randomized adaptive search proc...