Graph theory NYC

Getting around NYC

CAN GRAPH THEORY HELP?

Example of New York Traffic Route Congestion

General effects due to congested traffic/problems

● Time loss for public/passengers.

● Money loss due to loss of fuel.

● Increased road accidents due to over speed to make up the time lost in traffic.

Graph TheoryThe practical approach of graph theory can be applied to solve traffic problems, as it is the combination of vertices/nodes and edges. It can be used to built a network connecting n-nodes (boroughs, blocks, neighborhoods etc.) via roads leading to different places and destinations.

Flow Chart

Traffic Data Collection

Graph Modeling (plotting data)

Graph Bipartioning( possible routes)

Applying Algorithms on data sets

Output(suitable path)

Implementation

● DFS : (Depth First Search)

(1) Bridge Detection

(2) Strongly Connected Components

● Dijkstra's Algorithm :

(1) Finding shortest path among destinations.

Grid System

● New York is a city which is mostly planned on a grid system and built to be walker-friendly.

● Traffic congestion leads to several problems and cause lot of personal losses directly to the public.

● Traffic jams are at their worst in Manhattan, a short drive can turn into an extended stay on the Long Island Expressway

Possibilities with Network Subtraction

● Network Subtraction method can also applied to the traffic congestion problem of New York, in order to regulate huge traffic on the road.

● In this method we can subtract some grid network according to requirement to regulate the traffic congestion and its proper handling.

To come More on network computation.

Your task as a team Next one week find out all the sources of

data on NYC traffic