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- Wenchang Chu, Xinrong Ma
- J. Comb. Theory, Ser. A
- 2011

We consider an optimization problem motivated by the tradeoff between connectivity and resilience in key predistribution schemes (KPS) for sensor networks that are based on certain types of combinatorial designs. For a specific class of designs, we show that there is no real disadvantage in requiring the underlying design to be regular.

- Xinrong Ma
- Discrete Mathematics
- 1998

- Xinrong Ma, Albert Girard
- 2010

They found that transformation of (1) or (2) is related to Fibonacci numbers. Recently, Shapiro et al. [8] and Sprugnoli [10] introduced the theories of the Riordan array and the Riordan group, respectively, in an effort to answer the following question: What are the conditions under which a combinatorial sum can be evaluated by transforming the generating… (More)

- Zhijian Duan, Yong Yang, Xinrong Ma
- 2011 IEEE International Conference on Computer…
- 2011

The work presented in this paper focuses on parallel iterative method for solving banded linear systems. We establish the parallel row operation algorithm on distributed-memory multi-computer based on 3-D projection technology. Moreover, convergent theorem is proved when the coefficient matrix is nonsingular. In the end, two examples have been implemented… (More)

- Zhijian Duan, Xinrong Ma, Mengmei Qin
- 2016

Efficient parallel iterative algorithm is investigated for solving block-tridiagonal linear systems on distributed-memory multi-computers. Based on Galerkin theory, the communication only need twice between the adjacent processors per iteration step. Furthermore, the condition for convergence was given when the coefficient matrix A is a symmetric positive… (More)

- Xinrong Ma
- Discrete Mathematics
- 2010

- Xinrong Ma
- J. Comb. Theory, Ser. A
- 2011

- Xinrong Ma, Tian-Ming Wang
- SIAM Review
- 1995

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