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Published in 2024 at "Graphs and Combinatorics"
DOI: 10.1007/s00373-025-02952-3
Abstract: Two relationships between the injective chromatic number and, respectively, chromatic number and chromatic index, are proved. They are applied to determine the injective chromatic number of Sierpiński graphs and to give a short proof that…
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Keywords:
sierpi ski;
ski graphs;
graphs;
chromatic number ... See more keywords
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Published in 2019 at "IEEE Transactions on Network Science and Engineering"
DOI: 10.1109/tnse.2018.2797483
Abstract: The eigenvalues of a graph present a wide range of applications in structural and dynamical aspects of the graph. Determining and analyzing spectra of a graph has been an important and exciting research topic in…
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Keywords:
properties extended;
sierpi ski;
spectral properties;
ski graphs ... See more keywords
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Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-1990-1
Abstract: Sierpiński graphs are extensively studied graphs of fractal nature with applications in topology, mathematics of Tower of Hanoi and computer science. The generalized Sierpiński graphs are defined by replication of exactly the same graph, yielding…
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Keywords:
generalized sierpi;
topological indices;
sierpi ski;
graphs ... See more keywords