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networks

  

spanpoly

  

span polynomial of an undirected graph

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

spanpoly(G, p)

Parameters

G

-

undirected graph or network

p

-

variable in span poly (usually edge probability)

Description

• 

Important: The networks package has been deprecated.Use the superseding command GraphTheory[SpanningPolynomial] instead.

• 

The span polynomial in variable p gives the probability that G is spanning when each edge operates with probability p.

• 

When G is connected, this is the all-terminal reliability polynomial of G, and gives the probability that G is connected when each edge operates independently with probability p.

• 

This routine is normally loaded via the command with(networks) but may also be referenced using the full name networks[spanpoly](...).

Examples

Important: The networks package has been deprecated.Use the superseding command GraphTheory[SpanningPolynomial] instead.

withnetworks:

Gcomplete4:

addedge1,1,2,G:

spanpolyG,p

p36p432p3+66p263p+24

(1)

spanpolyG,122nopsedgesG

172

(2)

See Also

GraphTheory

GraphTheory[SpanningPolynomial]

networks(deprecated)[acycpoly]

networks(deprecated)[chrompoly]

networks(deprecated)[flowpoly]

networks(deprecated)[rankpoly]

with