Graphs "Graph theory is a terminological jungle, in which any - - PDF document

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Nov 10, 2022 427 likes •520 views

9/3/19 DCS/CSCI 2350: Social & Economic Networks Graphs Reading: Ch 2 (Easley-Kleinberg) Mohammad T . Irfan Email: mirfan@bowdoin.edu Graphs "Graph theory is a terminological jungle, in which any newcomer may plant a tree."

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9/3/19 1

DCS/CSCI 2350: Social & Economic Networks

Mohammad T . Irfan Email: mirfan@bowdoin.edu

Graphs

Reading: Ch 2 (Easley-Kleinberg)

Graphs

"Graph theory is a terminological jungle, in which any newcomer may plant a tree." – John Barnes

SLIDE 2

9/3/19 2

https://griffsgraphs.wordpress.com/2012/07/02/a- facebook-network/

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9/3/19 3

https://blog.linkedin.com/2011/01/24/linkedin-inmaps

LinkedIn InMaps

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9/3/19 4

Political blogs (2004)

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9/3/19 5

Graphs

Some Properties Puzzles: Degree-sum formula Max # of edges Konigsberg bridge problem Konigsberg Bridge Problem

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9/3/19 6

Graphs

Paths Cycles

ARPANET (1970)

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9/3/19 7

Graphs

Connectivity Components High school relationships (1993-95)

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9/3/19 8

Review of vocabulary

High school relationships (1993-95) Network ßà Graph Node ßà Vertex Edge: undirected vs. directed (arc) Degree of a node Endpoints of an edge Directed, undirected, mixed graphs Simple vs non-simple graph Subgraph Degree-sum formula Maximum number of edges Eulerian circuit problem Path Cycle Connected vs. disconnected graph Connected components of a graph

Reading

u Chapter 2 of Easley-Kleinberg u Due before the next class