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arxiv: 1408.1283 · v1 · pith:YXY7AHPAnew · submitted 2014-08-06 · 🧮 math.CO

On the minimal energy of tetracyclic graphs

classification 🧮 math.CO
keywords energygraphminimaltetracyclicabsoluteadjacencybeencaporossi
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The energy of a graph is defined as the sum of the absolute values of the eigenvalues of its adjacency matrix. In this paper, we characterize the tetracyclic graph of order $n$ with minimal energy. By this, the validity of a conjecture for the case $e=n+3$ proposed by Caporossi et al. \cite{CCGH} has been confirmed.

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