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11#
發(fā)表于 2025-3-23 09:54:53 | 只看該作者
12#
發(fā)表于 2025-3-23 16:37:30 | 只看該作者
https://doi.org/10.1007/978-3-663-02714-0termining ζ in the case of a tree, and it is shown that this tree algorithm can be generalized to yield ζ for any connected graph. Degree conditions are also derived which yield simple upper bounds for ζ.
13#
發(fā)表于 2025-3-23 20:13:29 | 只看該作者
https://doi.org/10.1007/978-3-8349-8045-8always possible. In fact, Evans proved that any n × n partial latin square could be embedded in some t × t latin square for every t ≥ 2n..., the best possible result of this kind. Evans‘ paper is now generic. It has become the starting point for a fascinating collection of problems in the study of l
14#
發(fā)表于 2025-3-24 00:03:39 | 只看該作者
15#
發(fā)表于 2025-3-24 05:38:15 | 只看該作者
Musikkommunikation und ihre Wirkungen that certain graphs have an integral spectrum, i.e., every eigenvalue is an integer. Thus, it is natural to ask just which graphs have this property. We develop a systematic approach to this question based on operations on graphs. The general problem appears intractable.
16#
發(fā)表于 2025-3-24 10:33:09 | 只看該作者
https://doi.org/10.1007/978-3-663-01491-1n independent set of vertices that contains at least 1/4 of the vertices of the graph. The purpose of this paper is to give an algorithm that produces an independent set in a planar graph that contains more than 2/9 of the vertices of the graph.
17#
發(fā)表于 2025-3-24 11:04:46 | 只看該作者
https://doi.org/10.1007/978-3-322-96711-4 from this 2n-gon by adjunction of the chords (i,(i+m)′), i = 0, 1, 2, ..., n?1, the addition being taken modulo n. Restricting ourselves to the case when n is prime, we determine the isomorphism classes of the graphs G(n,m), and the corresponding automorphism groups. Various applications are discussed.
18#
發(fā)表于 2025-3-24 17:36:06 | 只看該作者
19#
發(fā)表于 2025-3-24 22:00:37 | 只看該作者
Which graphs have integral spectra?, that certain graphs have an integral spectrum, i.e., every eigenvalue is an integer. Thus, it is natural to ask just which graphs have this property. We develop a systematic approach to this question based on operations on graphs. The general problem appears intractable.
20#
發(fā)表于 2025-3-25 00:44:06 | 只看該作者
Finding an independent set in a planar graph,n independent set of vertices that contains at least 1/4 of the vertices of the graph. The purpose of this paper is to give an algorithm that produces an independent set in a planar graph that contains more than 2/9 of the vertices of the graph.
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