2-Connected Hamiltonian Claw-Free Graphs Involving Degree Sum of Adjacent Vertices
For a graph H, define σ¯2(H)=min{d(u)+d(v)|uv∈E(H)}{{\bar \sigma }_2} ( H ) = \min \left\{ {d ( u ) + d ( v )|uv \in E ( H )} \right\} . Let H be a 2-connected claw-free simple graph of order n with δ(H) ≥ 3. In [J. Graph Theory 86 (2017) 193–212], Chen proved that if σ¯2(H)≥n2−1{{\bar \sigma }_2}...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2020-02-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.2125 |