4.5.1 - Cartesian Product of Graphs
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Practice Questions
Test your understanding with targeted questions
Define vertex connectivity in a graph.
💡 Hint: Think of how many points need removal to break connection.
What does the edge connectivity of a graph signify?
💡 Hint: What breaks connections between nodes?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the vertex connectivity used for?
💡 Hint: Think about how you would disconnect a graph.
True or False: The Cartesian product of graphs only applies to simple graphs.
💡 Hint: Recall the definitions of simple graphs.
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Challenge Problems
Push your limits with advanced challenges
Given graphs G1 with vertex set {A, B} and edges {AB} and G2 with vertex set {1, 2} and edges {12}, describe the resulting Cartesian product and determine its connectivity characteristics.
💡 Hint: Evaluate how edges define connections when their components share values.
Suppose graph G1 has a vertex set of 4 vertices with a complete edge set and graph G2 has 3 disconnected vertices. Discuss the structural outcome of their Cartesian product.
💡 Hint: Assess how each graph’s structure affects the new graph's edges.
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