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Which graph has a matching?

Which graph has a matching?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Transcription for Educational Website** --- **Which graph has a matching?** Three different graphs are presented below for analysis. **Graph 1:** This graph is a complete bipartite graph with two sets of vertices. The sets have equal numbers of vertices, each vertex from the first set is connected to every vertex in the second set. **Graph 2:** This graph is another bipartite graph with two sets of vertices. Each vertex from the first set is connected to some vertices in the second set, but not all. **Graph 3:** This graph is a complex bipartite graph, with two sets of vertices. Not all vertices from the first set are connected to all vertices in the second set, but there are multiple connections. Please examine all three graphs and determine which one contains a matching. ---
Transcribed Image Text:**Transcription for Educational Website** --- **Which graph has a matching?** Three different graphs are presented below for analysis. **Graph 1:** This graph is a complete bipartite graph with two sets of vertices. The sets have equal numbers of vertices, each vertex from the first set is connected to every vertex in the second set. **Graph 2:** This graph is another bipartite graph with two sets of vertices. Each vertex from the first set is connected to some vertices in the second set, but not all. **Graph 3:** This graph is a complex bipartite graph, with two sets of vertices. Not all vertices from the first set are connected to all vertices in the second set, but there are multiple connections. Please examine all three graphs and determine which one contains a matching. ---
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