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| Content Provider | Springer Nature Link |
|---|---|
| Author | Liu, Saihua Lin, Youchuang Ou, Jianping |
| Copyright Year | 2014 |
| Abstract | Grid graphs on the plane, torus and cylinder are finite 2-connected bipartite graphs embedded on the plane, torus and cylinder, respectively, whose every interior face is bounded by a quadrangle. Let $$k$$ be a positive integer, a grid graph is $$k$$ -resonant if the deletion of any $$i \le k$$ vertex-disjoint quadrangles from $$G$$ results in a graph either having a perfect matching or being empty. If $$G$$ is $$k$$ -resonant for any integer $$k \ge 1$$ , then it is called maximally resonant. In this study, we provide a complete characterization for the $$k$$ -resonance of grid graphs $$P_m\times P_n$$ on plane, $$C_m\times C_n$$ on torus and $$P_m\times C_n$$ on cylinder. |
| Ending Page | 1816 |
| Page Count | 10 |
| Starting Page | 1807 |
| File Format | |
| ISSN | 02599791 |
| e-ISSN | 15728897 |
| Journal | Journal of Mathematical Chemistry |
| Issue Number | 7 |
| Volume Number | 52 |
| Language | English |
| Publisher | Springer International Publishing |
| Publisher Date | 2014-03-18 |
| Publisher Place | Cham |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Theoretical and Computational Chemistry Maximally resonant Factorization, matching, partitioning, covering and packing Applications Physical Chemistry Grid graphs $$k$$ -Resonant Math. Applications in Chemistry |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Chemistry |
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