Maximal algebraic connectivity for paths with fixed total resistance
DOI:
https://doi.org/10.15381/pesquimat.v26i2.24218Keywords:
algebraic connectivity, spectral graph theory, effective resistance, eigenvalue optimizationAbstract
We consider the problem on finding the edge weights that maximize the algebraic connectivity of a graph, subject to the condition that the total resistance remains constant. For the paths P3 y P4 the solution to the problem is given. It is conjectured that for general graphs the solution is given for weights distributions that are invariant under graph automorphisms.
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Copyright (c) 2023 Alonso Cruz Ortega, Federico Menéndez-Conde Lara
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