Maple Professional
Maple Academic
Maple Student Edition
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professional
MapleSim Academic
Maple T.A. - Testing & Assessment
Maple T.A. MAA Placement Test Suite
Möbius - Online Courseware
Machine Design / Industrial Automation
Aerospace
Vehicle Engineering
Robotics
Power Industries
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematics Education
Engineering Education
High Schools & Two-Year Colleges
Testing & Assessment
Students
Financial Modeling
Operations Research
High Performance Computing
Physics
Live Webinars
Recorded Webinars
Upcoming Events
MaplePrimes
Maplesoft Blog
Maplesoft Membership
Maple Ambassador Program
MapleCloud
Technical Whitepapers
E-Mail Newsletters
Maple Books
Math Matters
Application Center
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
networks[neighbors] - find neighboring vertices, treating all edges as undirected
Calling Sequence
neighbors(v, G)
neighbors(vset, G)
neighbors(G)
Parameters
v
-
vertex of G
vset
set of vertices of G
G
graph or network
Description
Important:The networks package has been deprecated. Use the superseding command GraphTheory[Neighbors]instead.
Given a vertex v of a graph G, this routine returns the set of vertices which are at the ends of any edges incident with v, independent of direction.
Given a set of vertices, vset, the neighbors of the subgraph induced by vset are computed.
Directional information can be retrieved through use of the commands head() and tail(). Alternatively, the commands arrivals() and departures() provide information about ``neighbors'' with respect to incoming or outgoing directed edges.
When called with just a graph the actual neighbors table, indexed by vertices, is returned. Caution is required in this instance as this neighbors table is fully maintained by the network primitives such as addedge() and delete(). Specifically, direct assignments are not normally made to this table by the user.
This routine is normally loaded via the command with(networks) but may also be referenced using the full name networks[neighbors](...).
Examples
See Also
GraphTheory, GraphTheory[MinimumDegree], networks(deprecated)[arrivals], networks(deprecated)[head], networks(deprecated)[tail]
Download Help Document