Results 21 to 30 of about 10,333,076 (321)

Synthesizing optimal collective algorithms [PDF]

open access: yesProceedings of the 26th ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming, 2021
Both Zixian Cai and Zhengyang Liu contributed equally to the paper. The work was done during internships at Microsoft Research.
Cai, Zixian   +6 more
openaire   +2 more sources

Backbone colouring and algorithms for TDMA scheduling [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
We investigate graph colouring models for the purpose of optimizing TDMA link scheduling in Wireless Networks. Inspired by the BPRN-colouring model recently introduced by Rocha and Sasaki, we introduce a new colouring model, namely the BMRN-colouring ...
Julien Bensmail   +4 more
doaj   +1 more source

Computing metric hulls in graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
We prove that, given a closure function the smallest preimage of a closed set can be calculated in polynomial time in the number of closed sets. This implies that there is a polynomial time algorithm to compute the convex hull number of a graph, when all
Kolja Knauer, Nicolas Nisse
doaj   +1 more source

Improper colouring of (random) unit disk graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
For any graph $G$, the $k$-improper chromatic number $χ ^k(G)$ is the smallest number of colours used in a colouring of $G$ such that each colour class induces a subgraph of maximum degree $k$.
Ross J. Kang   +2 more
doaj   +1 more source

An optimal permutation routing algorithm on full-duplex hexagonal networks [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
Distributed Computing and ...
Ignasi Sau, Janez Žerovnik
doaj   +1 more source

Adaptive Cut Selection in Mixed-Integer Linear Programming

open access: yesOpen Journal of Mathematical Optimization, 2023
Cutting plane selection is a subroutine used in all modern mixed-integer linear programming solvers with the goal of selecting a subset of generated cuts that induce optimal solver performance.
Turner, Mark   +3 more
doaj   +1 more source

A Comparison of Optimization Algorithms for Deep Learning [PDF]

open access: yesInternational journal of pattern recognition and artificial intelligence, 2020
In recent years, we have witnessed the rise of deep learning. Deep neural networks have proved their success in many areas. However, the optimization of these networks has become more difficult as neural networks going deeper and datasets becoming bigger.
Derya Soydaner
semanticscholar   +1 more source

Progress in mathematical programming solvers from 2001 to 2020

open access: yesEURO Journal on Computational Optimization, 2022
This study investigates the progress made in lp and milp solver performance during the last two decades by comparing the solver software from the beginning of the millennium with the codes available today.
Thorsten Koch   +3 more
doaj   +1 more source

A method for eternally dominating strong grids [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
In the eternal domination game, an attacker attacks a vertex at each turn and a team of guards must move a guard to the attacked vertex to defend it. The guards may only move to adjacent vertices and no more than one guard may occupy a vertex.
Alizée Gagnon   +7 more
doaj   +1 more source

Detection number of bipartite graphs and cubic graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
For a connected graph G of order |V(G)| ≥3 and a k-labelling c : E(G) →{1,2,…,k} of the edges of G, the code of a vertex v of G is the ordered k-tuple (ℓ1,ℓ2,…,ℓk), where ℓi is the number of edges incident with v that are labelled i. The k-labelling c is
Frederic Havet   +2 more
doaj   +1 more source

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