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An optimal algorithm for solving the 1-median problems on weighted 4-cactus graphs

Article Abstract:

The median problem is analyzed in terms of weighted 4-cactus graphs. Such graphs are less restricted in terms of their network structure than are trees.

Graphic methods

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The lower and upper forcing geodetic numbers of block-cactus graphs

Article Abstract:

A study uses the graph theory to examine variation in geodetic numbers in block-cactus graphs.

China, Usage, Graph theory

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K L-list t colouring of graphs

Article Abstract:

A heuristic algorithm was developed to resolve a problem, which is NP-complete, related to k L-list t colouring of graphs. The algorithm employs a backtracking approach that allows direct reassignment of the vertices causing the problem. An implementation of the algorithm was undertaken involving assigning of trains to available tracks in railway stations.

Research, Scheduling (Management), Heuristic programming

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