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Topics in graph theory

AMS/MAA Textbooks, 2018
A graph is a system G = (V, E) consisting of a set V of vertices and a set E (disjoint from V ) of edges, together with an incidence function End : E → M2(V ), where M2(V ) is set of all 2-element sub-multisets of V . We usually write V = V (G), E = E(G),
L. Gladkov
semanticscholar   +1 more source

Graph-Theory-Based Decentralized Adaptive Output-Feedback Control for a Class of Nonlinear Interconnected Systems

IEEE Transactions on Cybernetics, 2019
This paper investigates the problem of decentralized output feedback control for a class of interconnected systems with unknown state-dependent interconnections. First, we design a new form of ${K}$ -filters with extra design parameters to compensate the
Yuanxin Li, Guang‐Hong Yang
semanticscholar   +1 more source

Graph Theory Based Heuristic Approach for Minimum Break Point Set Determination in Large Scale Power Systems

IEEE Transactions on Power Delivery, 2019
Coordination of directional relays in large-scale power systems that are multi-loop structured is a complicated and time consuming problem. Therefore, determination of the directional loops and the minimum break point set (MBPS) or a set close to it ...
Mohammad Dolatabadi, Y. Damchi
semanticscholar   +1 more source

A note on kinematic flow and differential equations for two-site one-loop graph in FRW spacetime

Journal of High Energy Physics
In this work, we systematically study the differential systems governing loop-level wavefunction coefficients of conformally-coupled scalar field theory within a general power-law FRW cosmology.
Yanfeng Hang, Cong Shen
semanticscholar   +1 more source

Modeling multiple-pipe failures in stormwater networks using a graph theory

Journal of Hydroinformatics
One way to enhance the resilience of urban stormwater networks is to identify critical components of the network for targeted management and maintenance strategies.
Aun Dastgir   +4 more
semanticscholar   +1 more source

Efficient Bathymetric SLAM With Invalid Loop Closure Identification

IEEE/ASME transactions on mechatronics, 2021
Bathymetric simultaneous localization and mapping (SLAM) holds high potential for accurate navigation in long endurance autonomous underwater vehicle (AUV) missions.
Tengyu Ma   +5 more
semanticscholar   +1 more source

Constant-Loop Dominators for Single-Path Code Optimization

Worst-Case Execution Time Analysis, 2023
Emad Jacob Maroun   +2 more
semanticscholar   +1 more source

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