Simple & Connected Graph Definitions for Exam Tomorrow

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SUMMARY

The discussion focuses on obtaining definitions for two specific graph types: simple graphs and connected graphs. A simple graph is defined as an undirected graph that contains no loops or multiple edges between the same two vertices. A connected graph is defined as a graph where all vertex points are interconnected by at least one path. These definitions are essential for understanding basic graph theory concepts relevant for examinations.

PREREQUISITES
  • Basic understanding of graph theory concepts
  • Familiarity with undirected graphs
  • Knowledge of vertices and edges in graph structures
  • Ability to interpret mathematical definitions in graph theory
NEXT STEPS
  • Research the properties of simple graphs in graph theory
  • Explore the concept of connectivity in graphs and its implications
  • Learn about different types of graphs, including directed and weighted graphs
  • Study applications of graph theory in computer science and network design
USEFUL FOR

Students preparing for exams in mathematics or computer science, educators teaching graph theory, and anyone interested in foundational concepts of graph structures.

terryfields
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just need 2 definitions without proof for an exam tomorrow, don't need to use them for anything just need to be able to quote them but can't find them anyway so if someone could helpfully write them down that would be great
1)simple graph
2)connected graph

cheers
 
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terryfields said:
just need 2 definitions without proof for an exam tomorrow, don't need to use them for anything just need to be able to quote them but can't find them anyway so if someone could helpfully write them down that would be great
1)simple graph
2)connected graph

cheers

Simple Graph - an undirected graph with no loops or multiple edges between the same two vertices.

Connected Graph - a graph in which all vertex points are joined by a path
 

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