Geodesic
Some Classes of Integral Graphs Which Belong to the Class Alpha Ka u Beta Kb,b
Publications de l'Institut Mathématique, _N_S_74 (2003) no. 88, p. 25 .

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Let $G$ be a simple graph and let $\overline G$ denote its complement. We say that $G$ is integral if its spectrum consists of integral values. We have recently established a characterization of integral graphs which belong to the class $\overline {\alpha K_a\cup\beta K_{b,b}}$, where $mG$ denotes the $m$-fold union of the graph $G$. In this work we investigate integral graphs from the class $\overline{\alpha K_a\cup\beta K_{b,b}}$ with $\overline\lambda_1=a+b$, where $\overline\lambda_1$ is the largest eigenvalue of $\overline{\alpha K_a\cup\beta K_{b,b}}$.
DOI : 10.2298/PIM0374025L
Classification : 05C50
Keywords: graph, eigenvalue, Diophantine equation, continued fractions 
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     title = {Some {Classes} of {Integral} {Graphs} {Which} {Belong} to the {Class} {Alpha} {Ka} u {Beta} {Kb,b}},
     journal = {Publications de l'Institut Math\'ematique},
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Mirko Lepović. Some Classes of Integral Graphs Which Belong to the Class Alpha Ka u Beta Kb,b. Publications de l'Institut Mathématique, _N_S_74 (2003) no. 88, p. 25 . doi : 10.2298/PIM0374025L. http://geodesic.mathdoc.fr/articles/10.2298/PIM0374025L/

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