Algebraic curves and polynomial systems form a cornerstone of modern computational and theoretical mathematics. These structures are defined by polynomial equations and exhibit rich geometric and ...
Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...
The second path matrix S(G) collects all the second paths in the graph G. Its characteristic polynomial shows some regularity in several particular graphs, such as paths, cycles, stars and complete ...
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