Spectral bounds for the clique and independence numbers of graphs

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Publication:1079582

DOI10.1016/0095-8956(86)90069-9zbMath0598.05047OpenAlexW1977170634MaRDI QIDQ1079582

Herbert S. Wilf

Publication date: 1986

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(86)90069-9





Cites Work


Related Items (92)

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IIOn Lagrangians of \(r\)-uniform hypergraphsThe spectral even cycle problemAdjacency eigenvalues of graphs without short odd cyclesThe spectral radius of graphs with no odd wheelsSpectral extremal graphs without intersecting triangles as a minorA spectral condition for odd cycles in non-bipartite graphsAnalytic methods for uniform hypergraphsSpectral radius of strongly connected digraphsA simpler characterization of a spectral lower bound on the clique numberChromatic number and signless Laplacian spectral radius of graphsThe vertex (edge) independence number, vertex (edge) cover number and the least eigenvalue of a graphMaximum spectral radius of graphs with given connectivity, minimum degree and independence numberThe signless Laplacian spectral radius of graphs with no intersecting trianglesEigenvalues and chromatic number of a signed graphIndependence number and spectral radius of cactus graphsSpectral extremal results on treesMeasure-theoretic bounds on the spectral radius of graphs from walksSpectral extrema of graphs with fixed size: cycles and complete bipartite graphsSome Motzkin-Straus type results for non-uniform hypergraphsA spectral Erdős-Rademacher theoremThe minimum spectral radius for \(K_{r+1}\)-saturated graphs with \(r = 4\), 5Matchings in regular graphs from eigenvaluesSpectral extrema of graphs with fixed size: forbidden triangles and pentagonsOn the spectral radius of graphs without a gemTurán's theorem implies Stanley's boundSpectral extremal results for hypergraphsExact bounds on the order of the maximum clique of a graph.The largest eigenvalue of a graph: A surveyA generalization of the Motzkin-Straus theorem to hypergraphsThe minimum spectral radius of graphs with a given independence numberThe spectral radius of graphs with given independence numberEigenvalues and triangles in graphsOn graph Laplacian eigenvectors with components in \(\{- 1, 0, 1 \}\)More spectral bounds on the clique and independence numbersSpectral extrema of graphs: forbidden hexagonThe maximum spectral radius of non-bipartite graphs forbidding short odd cyclesContinuous cubic formulations for cluster detection problems in networksGRAPHS WITH SMALL INDEPENDENCE NUMBER MINIMIZING THE SPECTRAL RADIUSA new eigenvalue bound for independent setsThe maximum clique problemNew analytical lower bounds on the clique number of a graph





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