Research problems from the Aveiro workshop on graph spectra

DOI10.1016/j.laa.2006.11.027zbMath1290.05002OpenAlexW1966757535MaRDI QIDQ2454138

Dragan Stevanović

Publication date: 12 June 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.11.027

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to combinatorics (05-06)

Related Items (25)

Cospectrality of multipartite graphs ⋮ Spectral classes of regular, random, and empirical graphs ⋮ Spectral distances in some sets of graphs ⋮ Cospectrality of complete bipartite graphs ⋮ Estimating distance between an eigenvalue of a signed graph and the spectrum of an induced subgraph ⋮ The efficiency and stability of R\&D networks ⋮ Distance between distance spectra of graphs ⋮ Cospectrality of graphs ⋮ Distance between spectra of graphs ⋮ Spectral distances of graphs ⋮ On the conjecture for certain Laplacian integral spectrum of graphs ⋮ Distance between the spectra of certain graphs ⋮ On induced matchings as star complements in regular graphs ⋮ Towards a spectral theory of graphs based on the signless Laplacian. II. ⋮ Integral graphs and \((k,\tau )\)-regular sets ⋮ On the Seidel integral complete multipartite graphs ⋮ On conjectures involving second largest signless Laplacian eigenvalue of graphs ⋮ Connected graphs with maximal \(Q\)-index: The one-dominating-vertex case ⋮ Distance between the normalized Laplacian spectra of two graphs ⋮ Graphs with maximal signless Laplacian spectral radius ⋮ On the reduced signless Laplacian spectrum of a degree maximal graph ⋮ Developments on spectral characterizations of graphs ⋮ Distance between the spectra of graphs with respect to normalized Laplacian spectra ⋮ Proof of a conjecture on spectral distance between cycles, paths and certain trees ⋮ Spectral distances on graphs

Cites Work

• Spektren endlicher Grafen
• Two-colorable graph states with maximal Schmidt measure
• On the maximal index of connected graphs
• Chromatic number and the 2-rank of a graph
• On graphs whose Laplacian matrices have distinct integer eigenvalues
• The spread of the spectrum of a graph
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