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Regular factors of regular graphs
Journal of Graph Theory, 1985AbstractGiven r ⩾ 3 and 1 ⩽ λ ⩽ r, we determine all values of k for which every r‐regular graph with edge‐connectivity λ has a k‐factor.
Bollobás, Béla +2 more
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P4-decompositions of regular graphs
Journal of Graph Theory, 1999It is shown that every simple \(r\)-regular graph \(G\) admits a balanced \(P_4\)-decomposition if \(r \equiv 0\pmod 3\) and \(G\) has no cut-edge when \(r\) is odd. It is also shown that a connected 4-regular graph \(G\) admits a \(P_4\)-decomposition if and only if \(| E(G)| \equiv 0\pmod 3\) by characterizing graphs of maximum degree 4 that admit a ...
Heinrich, Katherine +2 more
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Acta Mathematica Scientia, 1989
Summary: A graph G is k-covered if each edge of G belongs to a k-factor of G. We determine some values of k for which every regular graph with edge- connectivity \(\lambda\) is k-covered.
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Summary: A graph G is k-covered if each edge of G belongs to a k-factor of G. We determine some values of k for which every regular graph with edge- connectivity \(\lambda\) is k-covered.
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Observability in Connected Strongly Regular Graphs and Distance Regular Graphs
IEEE Transactions on Control of Network Systems, 2014Alain Y Kibangou
exaly
Formation of Robust Multi-Agent Networks through Self-Organizing Random Regular Graphs
IEEE Transactions on Network Science and Engineering, 2015Magnus Egerstedt, Jeff S Shamma
exaly
Sparse regular random graphs: Spectral density and eigenvectors
Annals of Probability, 2012Ioana Dumitriu
exaly

