WebApr 1, 2016 · The spectral radius of graphs without paths and cycles of specified length. Linear Algebra Appl., 432 (2010), pp. 2243-2256. View PDF View article View in Scopus Google Scholar [7] ... Hamilton cycles and eigenvalues of graphs. Linear Algebra Appl., 226–228 (1995), pp. 723-730. Google Scholar [12] M. Krivelevich, B. Sudakov. WebHamilton cycles in graphs and hypergraphs: an extremal perspective Abstract. As one of the most fundamental and well-known NP-complete problems, the ... [81] on Hamilton cycles in regular graphs which involves the ‘eigenvalue gap’. The conjecture itself would follow from the toughness conjecture. Conjecture2.7([81]). There is a constant C ...
arXiv:1402.4268v3 [math.CO] 23 May 2014
WebJul 4, 2024 · In a complete graph, every vertex is adjacent to every other vertex. … WebWhy Eigenvalues of Graphs? (more specifically) The technique is often efficient in counting structures, e.g., acyclic di- graphs, spanning trees, Hamiltonian cycles, independent sets, Eulerian orientations, cycle covers,k-colorings etc.. [Golin et … bubba\u0027s the colony tx
Algebraic connectivity - Wikipedia
WebMar 9, 2024 · We present these results in new forms, now stated in terms of structural … WebNov 17, 2013 · On the resilience of hamiltonicity and optimal packing of Hamiltonian cycles in random graphs. SIAM J. Discrete Math. 25, 1176–1193 (2011) MATH MathSciNet Google Scholar Bermond J.-C.: Hamiltonian decompositions of graphs, directed graphs and hypergraphs. WebApr 1, 2008 · This condition is sharp: the complete bipartite graph T 2 (n) with parts of size ⌊ n / 2 ⌋ and ⌈ n / 2 ⌉ contains no odd cycles and its largest eigenvalue is equal to ⌊ n 2 / 4 ⌋. This condition is stable: if μ ( G ) is close to ⌊ n 2 / 4 ⌋ and G fails to contain a cycle of length t for some t ⩽ n / 321 , then G resembles T 2 ... bubba\u0027s trailers wasilla