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Directed Eulerian Sandwich ProblemInstance: Given directed graphs D1= V,A1) and D2= V,A2) with A1⊆A2.
Directed Degree Constrained Sandwich ProblemInstance: Given directed graphs D1= V,A1) and D2= V,A2) with A1⊆A2 and a non-negative integer vector f on V. Question: Does there exist a sandwich graph D= V,A) (A1⊆A⊆A2) such that (d^_{D} v =f v)) for all v∈V?
We present a directed search algorithm, called K⁎, for finding the k shortest paths between a designated pair of vertices in a given directed weighted graph.
To see how to convert a traffic equilibrium problem into a variational inequality, we take into account a simple example as depicted in Figure 1. Figure 1 An illustrative example of given directed network and the O/D pairs.
Simultaneous Directed Degree ConstrainedSandwich Problem 2Instance: Given directed graphs D1= V,A1) and D2= V,A2) with A1⊆A2 and two non-negative integer vectors f and g on V. Question: Does there exist a sandwich graph D= V,A) (A1⊆A⊆A2) such that (d^_{D} v =f v)) and (d^_{D} v =g v)) for all v∈V.
The Shortest Path under the Stochastic Correlated Model (SPSCM) problem: In a given directed graph ({mathcal {G}}({mathcal {N}},{mathcal {L}})) where the link costs follow the stochastic correlated model, it is assumed that there are in total (Omega) Maximum Correlated Groups (MCGs).
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