OptGraphState is a python package that implements the graph-theoretical strategy to optimize the fusion-based generation of any graph state, which is proposed in Lee & Jeong, Quantum 7, 1212 (2023).

Given the adjacency matrix of the graph, the algorithm presented in this paper finds a spanning tree and then constructs the set of fundamental cycles. Our algorithm is slower than an algorithm ...

A holy grail of theoretical computer science, with numerous fundamental implications to more applied areas of computing such as operations research and artificial intelligence, is the question of ...

Abstract: This correspondence presents a theorem that relates the tree matrix of a graph to the existence of a dual graph (planarity). Using this theorem, a purely algebraic procedure is formulated ...

Cosecant, abbreviated as CSC, is an essential trigonometric function that represents the reciprocal of the sine function in mathematics. While some calculators are equipped with a dedicated CSC button ...

Reasoning about graphs, and learning from graph data is a field of artificial intelligence that has recently received much attention in the machine learning areas of graph representation learning and ...

This research is taking the first steps toward applying a 2D dragonfly wing skeleton in the design of an airplane wing using artificial intelligence. The work relates the 2D morphology of the ...

Abstract: Given a graph, finding the distance-2 maximal independent set (MIS-2) of the vertices is a problem that is useful in several contexts such as algebraic multigrid coarsening or multilevel ...