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OptimumFlowData
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OptimumFlowData

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represents flow data such as generated by FindMaximumFlow, FindMinimumCostFlow, etc.

Details

  • An OptimumFlowData[…] object ofd can be used to retrieve additional data and reports through ofd["property"].
  • A list of available properties is given by ofd["Properties"]. Additional information about the properties is listed on the pages for functions such as FindMaximumFlow and FindMinimumCostFlow.
  • Typical properties include:
  • "EdgeList"list of edges contributing to the flow
    "FlowGraph"graph of vertices and edges contributing to the flow
    "FlowMatrix"matrix of edge flows between pair of vertices
    "FlowTable"formatted table of edge flows
    "FlowValue"value of the flow
    "VertexList"list of vertices contributing to the flow

Examples

open allclose all

Basic Examples  (1)Summary of the most common use cases

Create an OptimumFlowData object using FindMaximumFlow:

In[1]:=1
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https://wolfram.com/xid/0tqmruc1denbdu-yajbfb
Out[1]=1

Obtain a list of properties:

In[2]:=2
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https://wolfram.com/xid/0tqmruc1denbdu-bg7o5l
Out[2]=2

Extract a property:

In[3]:=3
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https://wolfram.com/xid/0tqmruc1denbdu-gn7iss
Out[3]=3

Scope  (5)Survey of the scope of standard use cases

Extract a single property:

In[1]:=1
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https://wolfram.com/xid/0tqmruc1denbdu-caxlub
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0tqmruc1denbdu-dcuz5b
Out[2]=2

Build up a table of edge flows:

In[1]:=1
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https://wolfram.com/xid/0tqmruc1denbdu-r3okyf
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0tqmruc1denbdu-ge6txc
Out[2]=2

Build the flow matrix:

In[3]:=3
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https://wolfram.com/xid/0tqmruc1denbdu-cg7ygl

Highlight a flow:

In[1]:=1
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https://wolfram.com/xid/0tqmruc1denbdu-q2z7as
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0tqmruc1denbdu-32tbjf
Out[2]=2

Determine the flow value:

In[1]:=1
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https://wolfram.com/xid/0tqmruc1denbdu-o1q52d
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0tqmruc1denbdu-muo7x
Out[2]=2

Extract any number of properties simultaneously:

In[1]:=1
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https://wolfram.com/xid/0tqmruc1denbdu-bv1t8g
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0tqmruc1denbdu-edxoz9
Out[2]=2
Wolfram Research (2012), OptimumFlowData, Wolfram Language function, https://reference.wolfram.com/language/ref/OptimumFlowData.html.
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Wolfram Research (2012), OptimumFlowData, Wolfram Language function, https://reference.wolfram.com/language/ref/OptimumFlowData.html.

Text

Wolfram Research (2012), OptimumFlowData, Wolfram Language function, https://reference.wolfram.com/language/ref/OptimumFlowData.html.

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Wolfram Research (2012), OptimumFlowData, Wolfram Language function, https://reference.wolfram.com/language/ref/OptimumFlowData.html.

CMS

Wolfram Language. 2012. "OptimumFlowData." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/OptimumFlowData.html.

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Wolfram Language. 2012. "OptimumFlowData." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/OptimumFlowData.html.

APA

Wolfram Language. (2012). OptimumFlowData. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/OptimumFlowData.html

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Wolfram Language. (2012). OptimumFlowData. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/OptimumFlowData.html

BibTeX

@misc{reference.wolfram_2025_optimumflowdata, author="Wolfram Research", title="{OptimumFlowData}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/OptimumFlowData.html}", note=[Accessed: 30-March-2025 ]}

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@misc{reference.wolfram_2025_optimumflowdata, author="Wolfram Research", title="{OptimumFlowData}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/OptimumFlowData.html}", note=[Accessed: 30-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_optimumflowdata, organization={Wolfram Research}, title={OptimumFlowData}, year={2012}, url={https://reference.wolfram.com/language/ref/OptimumFlowData.html}, note=[Accessed: 30-March-2025 ]}

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@online{reference.wolfram_2025_optimumflowdata, organization={Wolfram Research}, title={OptimumFlowData}, year={2012}, url={https://reference.wolfram.com/language/ref/OptimumFlowData.html}, note=[Accessed: 30-March-2025 ]}