A small trivalent graph of girth 14.
Exoo, Geoffrey (2002)
The Electronic Journal of Combinatorics [electronic only]
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Exoo, Geoffrey (2002)
The Electronic Journal of Combinatorics [electronic only]
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Marián Sudolský (1978)
Mathematica Slovaca
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Pavol Híc (1992)
Mathematica Slovaca
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Walter Carballosa, Ruy Fabila-Monroy, Jesús Leaños, Luis Manuel Rivera (2017)
Discussiones Mathematicae Graph Theory
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Let G = (V, E) be a graph of order n and let 1 ≤ k < n be an integer. The k-token graph of G is the graph whose vertices are all the k-subsets of V, two of which are adjacent whenever their symmetric difference is a pair of adjacent vertices in G. In this paper we characterize precisely, for each value of k, which graphs have a regular k-token graph and which connected graphs have a planar k-token graph.
Hegde, Suresh Manjanath, Shetty, Sudhakar (2006)
Applied Mathematics E-Notes [electronic only]
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André Bouchet (1999)
Annales de l'institut Fourier
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The following result is proved: if a bipartite graph is not a circle graph, then its complement is not a circle graph. The proof uses Naji’s characterization of circle graphs by means of a linear system of equations with unknowns in . At the end of this short note I briefly recall the work of François Jaeger on circle graphs.