Walks, Paths and Circuits

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Walks, Paths and Circuits. A graph is a connected graph if it is possible to travel from one vertex to any other vertex by moving along successive edges. A graph is a disconnected graph if it is not possible to travel from one vertex to any other vertex by moving along successive edges . - PowerPoint PPT Presentation

Transcript of Walks, Paths and Circuits

Walks, Paths and Circuits

Walks, Paths and CircuitsA graph is a connected graph if it is possible to travel from one vertex to any other vertex by moving along successive edges.

A graph is a disconnected graph if it is not possible to travel from one vertex to any other vertex by moving along successive edges.

Examples:

A Bridge in a connected graph is an edge such that if it were removed the graph is no longer connected.

VocabularyA walk is a series of adjacent vertices that can go backwards as long as there is a line segment.

A path is a walk which does not repeat vertices.

A Circuit is a path whose endpoints are the same vertex. Note: you start and finish with the same vertex without repeating any edges.


Outline Main result Quantum computation and quantum circuits Feynman’s sum over paths Polynomials QuPol program “Quantum Polynomials” Quantum polynomials.

Outline Main result Quantum computation and quantum circuits Feynman’s sum over paths Polynomials QuPol program “Quantum Polynomials” Quantum polynomials.

Learning Acyclic Probabilistic Circuits Using Test Paths · Learning Acyclic Probabilistic Circuits Using Test Paths of a test path for an arbitrary wire win the circuit. Informally

Learning Acyclic Probabilistic Circuits Using Test Paths · Learning Acyclic Probabilistic Circuits Using Test Paths of a test path for an arbitrary wire win the circuit. Informally

Finite Math A Chapter 5: Euler Paths and Circuits The ......Finite Math A Chapter 5: Euler Paths and Circuits ... Circuit A _____ trip along the edges of the graph. ... 5.3 Euler Theorems

Finite Math A Chapter 5: Euler Paths and Circuits The ......Finite Math A Chapter 5: Euler Paths and Circuits ... Circuit A _____ trip along the edges of the graph. ... 5.3 Euler Theorems

Hamiltonian Circuits and Paths May 2 May 02, 2016 › ... › hamiltonian_circuits_and_paths_ma… · Hamiltonian Circuits and Paths May 2 May 02, 2016 A. Euler Circuit B. Euler Path

Hamiltonian Circuits and Paths May 2 May 02, 2016 › ... › hamiltonian_circuits_and_paths_ma… · Hamiltonian Circuits and Paths May 2 May 02, 2016 A. Euler Circuit B. Euler Path

ON MAXIMAL PATHS AND CIRCUITS OF GRAPHS - Combinatoricacombinatorica.hu/~p_erdos/1959-10.pdf · ON MAXIMAL PATHS AND CIRCUITS OF GRAPHS P. ERDGS (Budapest), corresponding member of

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COOK PARK...center 0' 150' 300' 600' legend project boundary proyecto concrete walks caminos de concreto asphalt walks caminos de asfalto dirt paths caminos de tierra focus areas Áreas

COOK PARK...center 0' 150' 300' 600' legend project boundary proyecto concrete walks caminos de concreto asphalt walks caminos de asfalto dirt paths caminos de tierra focus areas Áreas

Spring 2015 Mathematics in Management Science Euler’s Theorems Euler Circuits & Paths ECT & EPT Burning Bridges Fleury’s Algorithm.

Spring 2015 Mathematics in Management Science Euler’s Theorems Euler Circuits & Paths ECT & EPT Burning Bridges Fleury’s Algorithm.

Graph Theory Euler Paths & Euler Circuits. WHAT YOU WILL LEARN Euler paths and Euler circuits Fleury’s Algorithm.

Graph Theory Euler Paths & Euler Circuits. WHAT YOU WILL LEARN Euler paths and Euler circuits Fleury’s Algorithm.

Chapter 6: The Mathematics of Touring (Hamilton Circuits) and Hamilton Paths … · 2016-09-23 · 6.2 Hamilton Paths and Circuits A traveling salesman has clients in 5 different

Chapter 6: The Mathematics of Touring (Hamilton Circuits) and Hamilton Paths … · 2016-09-23 · 6.2 Hamilton Paths and Circuits A traveling salesman has clients in 5 different

Euler Paths and Euler Circuits - University of Kansasjlmartin/courses/math105... · Euler Paths and Euler Circuits An Euler path is a path that uses every edge of a graph exactly

Euler Paths and Euler Circuits - University of Kansasjlmartin/courses/math105... · Euler Paths and Euler Circuits An Euler path is a path that uses every edge of a graph exactly

Graphs Paths Circuits Euler. Traveling Salesman Problems.

Graphs Paths Circuits Euler. Traveling Salesman Problems.

FROM PAST PATHS TO FUTURE WALKS Reading and Learning From the Traditional Streets of Kathmandu Valley Towns Sudarshan Raj Tiwari Nepal.

FROM PAST PATHS TO FUTURE WALKS Reading and Learning From the Traditional Streets of Kathmandu Valley Towns Sudarshan Raj Tiwari Nepal.

The Traveling Salesman Problem - Department of Mathematics · Euler Paths? Euler Circuits? Hamilton Paths? Hamilton Circuits? If not, why not? If so, list them. Do the following graphs

The Traveling Salesman Problem - Department of Mathematics · Euler Paths? Euler Circuits? Hamilton Paths? Hamilton Circuits? If not, why not? If so, list them. Do the following graphs

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 14.3 Hamilton Paths, and Hamilton Circuits.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 14.3 Hamilton Paths, and Hamilton Circuits.

Metabolic Pathway Inference using Random Walks and ...psbweb05.psb.ugent.be/.../MetabolicPathwayInference_MLSB08.pdf · Metabolic Pathway Inference using Random Walks and Shortest-Paths

Metabolic Pathway Inference using Random Walks and ...psbweb05.psb.ugent.be/.../MetabolicPathwayInference_MLSB08.pdf · Metabolic Pathway Inference using Random Walks and Shortest-Paths

CIRCUITS PAPER - Maker Education Initiative · 2018. 9. 26. · circuits, which are closed circuits where the electric current divides into two or more paths before recombining to

CIRCUITS PAPER - Maker Education Initiative · 2018. 9. 26. · circuits, which are closed circuits where the electric current divides into two or more paths before recombining to

14.1 – Graphs, Paths, and Circuitscampus.murraystate.edu/academic/faculty/kfister1/Current/... · 2014-11-19 · 14.1 – Graphs, Paths, and Circuits In the 18th century the townspeople

14.1 – Graphs, Paths, and Circuitscampus.murraystate.edu/academic/faculty/kfister1/Current/... · 2014-11-19 · 14.1 – Graphs, Paths, and Circuits In the 18th century the townspeople

Circuits, Paths, and Graph Structures Packet

Circuits, Paths, and Graph Structures Packet

§ 6.1-6.2 Hamiltonian Circuits and Paths; Complete Graphs

§ 6.1-6.2 Hamiltonian Circuits and Paths; Complete Graphs

Networks and Graphs: Circuits, Paths, and Graph Structures€¦ · Networks and Graphs: Circuits, Paths, and Graph Structures VII.A Student Activity Sheet 1: Euler Circuits and Paths

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