Spanning 3-Ended Trees in Almost Claw-Free Graphs
We prove that if G is a k-connected (k≥2) almost claw-free graph of order n and σk+3(G)≥n+2k-2, then G contains a spanning 3-ended tree, where σk(G)=min{∑v∈Sdeg(v):S is an independent set of G with S=k}.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/476182 |