Non-isomorphic graphs with cospectral symmetric powers.
Barghi, Amir Rahnamai, Ponomarenko, Ilya (2009)
The Electronic Journal of Combinatorics [electronic only]
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Barghi, Amir Rahnamai, Ponomarenko, Ilya (2009)
The Electronic Journal of Combinatorics [electronic only]
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Dragan Marušič, Tomaž Pisanski (2000)
Mathematica Slovaca
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Boštjan Brešar, Manoj Changat, Ajitha R. Subhamathi, Aleksandra Tepeh (2010)
Discussiones Mathematicae Graph Theory
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The periphery graph of a median graph is the intersection graph of its peripheral subgraphs. We show that every graph without a universal vertex can be realized as the periphery graph of a median graph. We characterize those median graphs whose periphery graph is the join of two graphs and show that they are precisely Cartesian products of median graphs. Path-like median graphs are introduced as the graphs whose periphery graph has independence number 2, and it is proved that there are...
Evdokimov, Sergei, Ponomarenko, Ilia (2000)
The Electronic Journal of Combinatorics [electronic only]
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Simić, Slobodan K. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Pavol Híc (1992)
Mathematica Slovaca
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Aneta Dudek, A. Paweł Wojda (2004)
Discussiones Mathematicae Graph Theory
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A graph G is said to be H-saturated if G is H-free i.e., (G has no subgraph isomorphic to H) and adding any new edge to G creates a copy of H in G. In 1986 L. Kászonyi and Zs. Tuza considered the following problem: for given m and n find the minimum size sat(n;Pₘ) of Pₘ-saturated graph of order n. They gave the number sat(n;Pₘ) for n big enough. We deal with similar problem for bipartite graphs.
Finn, Robert, Lu, Jianan (1997)
Memoirs on Differential Equations and Mathematical Physics
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