Signless Laplacian spectral radius and Hamiltonicity

By Bo Zhou. 2010

90 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/325f6c022195fb9f2435d633fb89a32fa38dd0ae

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Bo Ning
2. Vladimir Nikiforov
3. Binlong Li
4. Yongtao Li
5. Lihua Feng
6. Weijun Liu
7. Shilin Wang
8. Bo Zhou

In Geometry and Topology

1. Vladimir Nikiforov
2. Bo Ning
3. Yongtao Li
4. Binlong Li
5. Lihua Feng
6. Weijun Liu
7. Shilin Wang
8. Bo Zhou

In Organic Chemistry

1. Vladimir Nikiforov
2. Bo Ning
3. Binlong Li
4. Shilin Wang
5. Lihua Feng
6. Weijun Liu
7. Yongtao Li
8. Bo Zhou

Citations in the corpus

• Spectral radius and Hamiltonicity of graphs with large minimum degree (2016, result): “It should be noted that most of the results discussed in the present paper and in the references [1, 10, 13, 14, 15, 16, 17, 21] deal exclusively with very dense graphs, which makes these results somewhat one-sided.”
• Sufficient spectral conditions on Hamiltonian and traceable graphs (2014, background): “1 ( [14]) Let G be a graph on n vertices with complement Ḡ.”
• Spectral analogues of Erdős’ and Moon–Moser’s theorems on Hamilton cycles (2015, methodology): “For the signless Laplacian, Zhou [10], Nikiforov [11], Yu and Fan [12] and Liu et al.”
• A survey on spectral conditions for some extremal graph problems (2021, methodology): “For the Q-index counterpart of the above problem, Zhang [203] gave the Q-index of graphs with given degree sequence, Zhou [206] studied the Q-index and Hamiltonicity.”
• Spectral radius and Hamiltonian properties of graphs (2013, background): “Some other spectral conditions for Hamilton paths and cycles in graphs have been given in [4, 11, 14, 16, 25].”
• The signless Laplacian spectra of the corona and edge corona of two graphs (2013, background): “See [2,4,9] for more details on properties of signless Laplacian eigenvalues.”
• Some new results in extremal graph theory (2011, result): “Zhou [92], adopting the same technique, proved a similar result for the signless Laplacian, which has been subsequently refined in [83] to the following one:”