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Let H be a hexagonal system. The Z-transformation graph Z(H) is the graph where the vertices are the perfect matchings of H and where two perfect matchings are joined by an edge provided their symmetric difference is a hexagon of H (Z. Fu-ji et al., 1988). In this paper we prove that Z(H) has a Hamilton path if H is a catacondensed hexagonal system. A… (More)

- Kai-Hsiung Chang, Rui Li, Barbara Kuri, Yair Lotan, Claus G. Roehrborn, Jiayan Liu +7 others
- Cell
- 2013

Growth of prostate cancer cells is dependent upon androgen stimulation of the androgen receptor (AR). Dihydrotestosterone (DHT), the most potent androgen, is usually synthesized in the prostate from testosterone secreted by the testis. Following chemical or surgical castration, prostate cancers usually shrink owing to testosterone deprivation. However,… (More)

We consider construction of a set of smaller 4 x 4 matrices to represent DNA primary sequences which are based on enumeration of all 64 triplets of nucleic acids bases. The leading eigenvalue from the constructed matrices has been selected as an invariant for construction of a vector to characterize DNA. Additional invariants considered of the derived… (More)

A connected graph G is said to be k-cycle resonant if, for 1 6 t 6 k, any t disjoint cycles in G are mutually resonant, that is, there is a perfect matching M of G such that each of the t cycles is an M-alternating cycle. The concept of k-cycle resonant graphs was introduced by the present authors in 1994. Some necessary and suucient conditions for a graph… (More)

- Sunil Laxman, Benjamin M. Sutter, Xi Wu, Sujai Kumar, Xiaofeng Guo, David C. Trudgian +2 others
- Cell
- 2013

Protein translation is an energetically demanding process that must be regulated in response to changes in nutrient availability. Herein, we report that intracellular methionine and cysteine availability directly controls the thiolation status of wobble-uridine (U34) nucleotides present on lysine, glutamine, or glutamate tRNAs to regulate cellular… (More)

- Jinsong Chen, Xiaofeng Guo
- 2011

The atom-bond connectivity (ABC) index of a graph G, is defined as the sum of the weights d u + d v − 2 d u d v 1 2 of all edges uv of G, where d u denotes the degree of a vertex u in G. The ABC index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes. In this paper, we characterize the… (More)