2012
DOI: 10.1007/s10878-012-9462-2
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Finding paths with minimum shared edges

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Cited by 19 publications
(11 citation statements)
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“…One of the earlier published algorithms for finding disjoint paths in a network was from Suurballe [ 9 ] and subsequently from Bhandari [ 10 ]. Many variants of disjoint paths algorithms such as availability based disjoint [ 11 ], maximally disjoint [ 12 ] and region based disjoint paths [ 13 ] are published. Several other constraints including the weights of the constituent edges of the paths are also added such as min-sum and min-max.…”
Section: Related Workmentioning
confidence: 99%
“…One of the earlier published algorithms for finding disjoint paths in a network was from Suurballe [ 9 ] and subsequently from Bhandari [ 10 ]. Many variants of disjoint paths algorithms such as availability based disjoint [ 11 ], maximally disjoint [ 12 ] and region based disjoint paths [ 13 ] are published. Several other constraints including the weights of the constituent edges of the paths are also added such as min-sum and min-max.…”
Section: Related Workmentioning
confidence: 99%
“…It is shown that the problem of finding maximally disjoint paths is NP-hard in [11]. An interesting review of the subject can be found in [12].…”
Section: Related Workmentioning
confidence: 99%
“…One can solve the MIDCP problem over G 0 by solving the MIP problem over G 1 . Since the MIP problem is known to be N P-hard [7], then by reduction the MIDCP is N P-hard.…”
Section: B N P-hardnessmentioning
confidence: 99%