- Shen, Z. On the Completeness of SLDNF-Resolution. The City University of New York, 1990.

- Cheng, E., Mao, Y. P., Qiu, K., Shen, Z., Yang, W. H., A brief account on the development and future research directions of connectivity properties of interconnection networks.
*Parallel Processing Letters*30 (3) (2020) 2040009 (14 pages).

- Cheng, E., Qiu, K., and Shen, Z., The g-extra diagnosability of the generalized exchanged hypercube.
*International Journal of Computer Mathematics: Computer Systems Theory*5(2) (2020) 112-123.

- Cheng, E., Qiu, K., Shen, Z., Preface.
*International Journal of Parallel, Emergent and Distributed Systems*35(1) (2020) 1.

- Cheng, E., Qiu, K., Shen, Z., Diagnosability of interconnection networks: past, present and future.
*International Journal of Parallel, Emergent and Distributed Systems*35(1) (2020) 2-8.

- Cheng, E., Qiu, K., and Shen, Z., Finding one-to-many shortest disjoint paths in hypercubes,
*Congressus Nemerantium*233 (2019) 175-188.

- Cheng, E., Qiu, K., and Shen, Z., A general approach to deriving the
*g*-good-neighbor conditional diagnosability of interconnection networks.*Theoretical Computer Science*757 (24) (2019) 56-67.

- Cheng, E., Qiu, K., and Shen, Z., On coloring complete binary trees.
*Congressus Numerantium*230 (2018) 125-134.

- Cheng, E., Qiu, K., and Shen, Z., A proposed scheme of finding closed form solutions to surface areas of graphs.
*Congressus Numerantium*230 (2018) 135-149.

- Cheng, E., Qiu, K., and Shen, Z., Routing on the hypercube with bocking/faulty nodes.
*Congressus Nemerantium*229 (2017) 75-85.

- Cheng, E., Hao, R. -X., Qiu, K., and Shen, Z., On diagnosability of interconnection networks.
*International Journal of Unconventional Computing*13 (3) (2017) 245-251.

- Cheng, E., Qiu, K., and Shen, Z., On the restricted connectivity of the arrangement Graphs.
*The Journal of Supercomputing*73 (2017) 3669-3682.

- Cheng, E., Qiu, K., and Shen, Z., Diagnosability problems of the exchanged Hypercube and its generalization.
*International Journal of Computer Mathematics: Computer Systems Theory*2(1) (2017) 39-52.

- Cheng, E., Qiu, K., and Shen, Z., A strong connectivity property of the generalized exchanged hypercube.
*Discrete Applied Mathmatics*216 (2017) 529-536.

- Cheng, E., Qiu, K., and Shen, Z., On the conditional diagnosability of the hyper-butterfly graphs and related networks.
*Parallel Processing Letters*26(1) (2016) 1650005 (18 pages).

- Cheng, E., Qiu, K., and Shen, Z., Length two path centered surface area of the (n, k)-star graph.
*Information Sciences*332 (2016) 115-130.

- Cheng, E., Qiu, K., and Shen, Z., Connectivity results of complete cubic network as associated with linearly many faults.
*Journal of Interconnection Networks*15(1 & 2) (2015) 1550007 (23 pages).

- Cheng, E., Qiu, K., and Shen, Z., Edge centered surface areas for the (n, k)-star graphs.
*Journal of Combinatorial Math. and Combinatorial Computing*94 (2015) 237-260.

- Cheng, E., Qiu, K., and Shen, Z., Finding edge-centered surface areas for the (n,k)-star graph via first principle.
*Congressus Nemerantium*221 (2014) 163-188.

- Cheng, E., Qiu, K., and Shen, Z., On the conditional diaganosability of matching composition networks.
*Theoretical Computer Science*557 (2014) 101-114.

- Cheng, E., Qiu, K., and Shen, Z., Length two path centered surface area for the bipartite graphs.
*Journal of Combinatorial Math. and Combinatorial Computing*90 (2014) 223-239.

- Cheng, E., Qiu, K., and Shen, Z., The number of shortest paths in the (n,k)-star graphs.
*Discrete Mathematics, Algorithms and Applications*6(4)(2014) 1450051 (17 pages).

- Cheng, E., Qiu, K., and Shen, Z., Length-two path centered surface area for the arrangement graphs.
*International Journal of Computer Mathematics*91(6) (2014) 1170-1189.

- Cheng, E., Qiu, K., and Shen, Z., On the surface area of the alternating group graphs and the split star graphs.
*Ars Combinatoria*115 (2014) 239-260.

- Cheng, E., Qiu, K., and Shen, Z., Deriving the length two path centered surface area for the arrangement graphs: a generating function based approach.
*Journal of Supercomputing*68 (2014) 1241-1264.

- Cheng, E., Qiu, K., and Shen, Z., Edge-centered surface area of the arrangement graphs.
*Journal of Combinatorial Optimization*27(1) (2014) 49-64.

- Cheng, E., Qiu, K., and Shen, Z., On disjoint shortest paths routing in interconnection networks: a case study in the star graph.
*Congressus Numerantium*216 (2013) 157-180.

- Cheng, E., Grosman, J., Qiu, K., and Shen, Z., A faster algorithm for finding disjoint ordering of sets .
*International Journal of Networking and Computing*3(2) (2013) 182-191.

- Cheng, E., Liptak, L., Qiu, K., and Shen, Z., Cyclic vertex connectivity of Cayley graphs generated by transposition trees.
*Graphs and Combinatorics*29(4) (2013) 835-841.

- Cheng, E., Liptak, L., Qiu, K., and Shen, Z., A unified approach to the conditional diagnosability of interconnection networks.
*Journal of Interconnection Networks*13(3-4)(2013).

- Cheng, E., Grosman, J., Qiu, K., and Shen, Z., The number of shortest paths in the arrangement graph.
*Information Sciences*(2013) 191-204.

- Cheng, E., Qiu, K., and Shen, Z., A generating function approach to the edge surface area of the arrangement graphs.
*The Computer Journal*56 (7)(2012) 871-881.

- Cheng, E., Qiu, K., and Shen, Z., Edge centered surface areas for the bipartite graphs.
*Congressus Numerantium*(2012) 185-196.

- Cheng, E., Qiu, K., and Shen, Z., On the surface area of the augmented cubes.
*Journal of Supercomputing*61(3) (2012) 856-868.

- Cheng, E., Liptak, L., Qiu, K., and Shen, Z., On the conditional ciagnosablilty of the interconnection networks.
*Information Processing Letters*112 (2012) 674-677.

- Cheng, E., Qiu, K., and Shen, Z., A note on the alternating group network.
*The Journal of Supercomputing*59(1) (2012) 246-248.

- Cheng, E., Qiu, K., and Shen, Z., On the surface areas and average distances of meshes and tori.
*Parallel Processing Letters*21(1) (2011) 61-75.

- Cheng, E., Qiu, K., and Shen, Z., A note on the surface areas of the product graphs.
*Congressus Numerantium*203 (2010) 131-137.

- Cheng, E., Qiu, K., and Shen, Z., On deriving explicit formulas of the surface areas for the arrangement graphs and some of the related graphs.
*International Journal of Computer Mathematics*87(13) (2010) 2903-2914

- Cheng, E., Grossman, J., Liptak, L., Qiu, K., and Shen, Z., Distance formula and shortest paths for the (n,k)-star graphs.
*Information Sciences*180 (2010) 1671-1680.

- Cheng, E., Qiu, K., and Shen, Z., A generating function approach to the surface area of some interconnection networks.
*Journal of Interconnection Networks*10(3) (2009) 189-204.

- Shen, Z., Qiu, K., and Cheng, E., On the surface area of the (n, k)-star graph.
*Theoretical Computer Science*410(52) (2009) 5481-5490.

- Cheng, E., Qiu, K., and Shen, Z., A short note on the surface area of star graphs.
*Parallel Processing Letters*19(1) (2009) 19-22.

- Shen, Z., and Qiu, K., An explicit formula of the surface area for the star graph and a proof of its correctness.
*Congressus Numerantium*192 (December 2008) 115-127.

- Shen, Z., and Qiu, K., On the Whitney numbers of the second kind for the star poset.
*European Journal of Combinatorics*29(7) (2008) 1585-1586.

- Qiu, K. and Shen, Z., On a combinatorial problem on the star graphs.
*Congressus Nemerantium*185 (2007) 97-109.

- Shen, Z., A generalized broadcasting schema for the mesh structures.
*Applied Mathematics and Computation*186(2) (2007) 1293-1310.

- Shen, Z., A bypassing path based routing algorithm for the pyramid structures.
*Applied Mathematics and Computation*181 (2006) 1523-1543

- Shen, Z., Alleviation of the impact of the apex nodes in the pyramid structures.
*Applied Mathematics and Computation*169(1) (2005) 157-178.

- Shen, Z., A study of a generalization of a card problem.
*Applied Mathematics and Computation*166(2) (2005) 385-410.

- Shen, Z., A minimal broadcasting schema for the mesh structures.
*International Journal of High Performance Computing and Networking*2(3/4/5)(2004) 210-221.

- Shen, Z., The calculation of average distance in the mesh structures.
*Computers & Mathematics with Applications*44(2002) 1379-1402.

- Shen, Z., Average diameter and its estimation in the non-linear structures.
*Computers & Mathematics with Applications*40(2000) 261-276.

- Shen, Z., The average diameter of general tree structures,
*Computers & Mathematics with Applications*36(7) (1998) 111--130.

- Shen, Z., Correcting an error in a "Cheat Sheet",
*SIGACT News*28.1(1997) 49-51.

- Wasserman, H. C., Yukawa, K., and Shen, Z., The essential inadequacy of deduction in logic programming,
*The bulletin of IGPL*3(1) (1995) 107-110.

- Shen, Z., and Marston, C., A study of a dice problem,
*Applied Mathematics and Computation*73(2-3) (1995) 231-247.

- Shen, Z., A mathematical model for mesh's dynamic behavior,
*Computers & Mathematics with Applications*28(6) (1994) 25--32.

- Shen, Z., Drexel, P., and Urbach, L., A mathematical model of a mesh system and its implementation,
*Mathematical and Computer Modeling*18(2)(1993) 33-48.

- Shen, Z., Static analysis of a mesh system,
*Information Processing Letters*47(1993) 295-299.

- Cheng, E., Hao, R., -X., Qiu, K., and Shen, Z., Structural properties and fault resilency of interconnectdion networks, in: Adamatzky, A., Selim A., and Sirakoulis, G., ed.
*From Parallel To Emergent Computubg*, CRC Press, 2019: 77-101.

- Cheng, E., Qiu, K., and Shen, Z., Structural properties of the
generalized exchanged hypercubes, in: Adamatzky, A, ed.
*Emergent Computation:Ermergence, Complexity, Computation Vol 24*, Cham, Switzerland: Springer, 2017: 215-232.

- Cheng, E., Mao, Y. P. Qiu, K., Shen, Z., Faulty node modeling and diagnosis in interconnection networks (Extended abstract), in
*Proc. 2019 International Conference on Modeling, Simulation, Optimization and Algorithm*(ICMSOA 2019), November 9-10, 2019, Sanya, China. J. Phys: Conf. Ser.1409 (2019) 012024.

- Cheng, E., Qiu, K., and Shen, Z. A Study of the decycling problem for the generalized exchanged hypercube, in
*Proc. of the 14th International Symposium on Pervasive Systems, Algorithms, and Networks (I-SPAN 2017)*, Exeter, England, UK, June 21-23, 2017, IEEE Computer Society press, pp. 93-99.

- Cheng, E., Qiu, K., and Shen, Z., Connectivity results of hierarchical cubic networks as associated with linearly many faults (Extended abstract), in
*Proc. of International Symposium on Pervasive Systems, Algorithms, and Networks (I-SPAN 2014)*, Chengdu, China, December 19-21, 2014, IEEE Computer Society Press CPS, pp. 1213-1220.

- Cheng, E., Qiu, K., and Shen, Z., A faster algorithm for finding disjoint ordering of sets (Extended abstract), in
*Proc. The Third International Conference on Networking and Computing (ICNC'12)*, Okinawa, Japan, December 5-7, 2012, IEEE Computer Society Press CPS. pp. 118-124.

- Cheng, E., Laszlo, L., Qiu, K., and Shen, Z., On the conditional diagnosability of Some of the interconnection networks (Extended abstract), in
*Proc. of International Symposium on Pervasive Systems, Algorithms, and Networks (I-SPAN 2012)*, San Marcos, Texas, December 13-15, 2012, IEEE Computer Society Press CPS, pp. 58-64.

- Cheng, E., Qiu, K., and Shen, Z., The surface area of the arrangement graph centered at an edge (Extended abstract), in
*Proc. The 6th International Conference on Combinatorial Optimization and Applications (COCOA 2012)*August 5-9, 2012, Banff, Canada, Springer LNCS 7402, pp. 49-60.

- Cheng, E., Qiu, K., and Shen, Z., On the surface areas of the asymmetric twisted cubes, in
*Proc. Fifth Annual International Conference on Combinatorial Optimization and Applications (COCOA'2011)*, August 4-6, 2011, Zhang Jia Jie, China, Springer LNCS 6831, pp.411-423.

- Cheng, E., Qiu, K., and Shen, Z., The number of shortest paths in the (n,k)-star graphs(Extended Abstract), in
*Proc. Fourth Annual International Conference on Combinatorial Optimization and Applications (COCOA'2010)*, Dec. 18-20, 2010, Kailua-Kona, HI, USA, Springer LNCS 6508(Part I), pp.222-236.

- Cheng, E., Qiu, K., and Shen, Z., On the surface area of the alternating group networks,
*Proc. IASTED Parallel and Distributed Computing and Systems (PDCS2009)*, November 2-4, 2009, Cambridge, MA, pp. 85-90.

- Cheng, E., Gao, S., Qiu, K., and Shen, Z., An efficient routing algorithm for disjoint shortest paths on Hypercube(Extended Abstract),
*Proc. the 3rd Annual International Conference on Combinatorial Optimization and Applications (COCOA'09).*, June 10-12, 2009, Yellow Mountains, China, Springer LNCS 5573, pp. 375-383.

- Shen, Z., Qiu, K., and Cheng, E., On the surface area of the (n, k)-star graph,
*Proc. of the 2nd Annual International Conference on Combinatorial Optimization and Applications (COCOA'08)*, August 21-24, 2008, St. Johns, Newfoundland, Canada, Springer LNCS 5165, pp. 393-404.

- He, L., Qiu, K., and Shen, Z., Neighbourhood broadcasting and broadcasting on the (n, k)-star graph,
*Proc. of the 8th International Conference on Algorithms and Architectures for Parallel Processing (ICA3PP'08)*, June 9-11, 2008, Cyprus, Springer LNCS 5022, pp. 70-78.

- Shen, Z. and Qiu, K., On the vertex disjoint paths for the general tori. in
*Proc. of the ISCA 20th International Con. on Parallel and Distributed Computing System(PDCS2007)*, Las Vegas, NV, Sept. 24-26, 2007, pp. 236-241.

- Shen, Z. and Qiu, K., On the effective paths for the general tori, in
*Proc. of the ISCA 20th International Con. on Parallel and Distributed Computing System(PDCS2007)*, Las Vegas, NV, Sept. 24-26, 2007, pp. 230-235.

- Shen, Z., On the number of spanning trees in a mesh structure, in the
*Proc. of the 19th International Conf. on Parallel and Distr. Computing System(PDCS-2006)*, San Francisco, California, Sept. 20-22, 2006, pp. 1-6.

- Shen, Z., A generalized broadcasting schema for the mesh structures(Extended abstract), in
*the Proc. of ISCA 21st International Conference on Computers and Their Applications(CATA2006),*Seattle, WA, March 22-25, 2006, pp. 270-275.

- Berry, J., Hrozencik, D., Rao, S., and Shen, Z., Finding the median set of tree structures in synchronous distributed systems, in
*the Proc. of the ISCA 20th International Conference on Computers and Their Applications(CATA-2005),*New Orleans, LO, March 16-18, 2005, pp. 7-12.

- Luttamaguzi, J., Pelsmajer, M., Shen, Z, and Yang, B., Integer programming methods for several optimization problems in graph theory, in
*the Proc. of, the ISCA 20th International Conference on Computers and Their Applications(CATA-2005),*New Orleans, LO, March 16-18, 2005, pp. 50-55.

- Berry, J. W., Hrozencik, D., Rao, S., and Shen, Z., Finding central sets of tree structures in synchronous distributed systems, in
*Pro. of the 17th International Conference on Parallel and Distributed Computing Systems (PDCS-2004),*San Francisco. CA, Sept. 15-17, 2004, pp. 201-208.

- Shen, Z., Alleviation of the impact of the apex nodes in the pyramid structures(Extended Abstract), in
*Proc. of the ISCA 19th International Conference on Computers and Their Applications,*Seattle, WA, March 2004, pp. 168-171.

- Shen, Z. and Healy, T., A study of a card problem and its generalization(Extended Abstract), in
*Proc. of the ISCA 19th International Conference on Computers and Their Applications,*Seattle, WA, March 2004, pp. 55-58.

- Shen, Z., An alternative routing algorithm for the pyramid structures (Extended Abstract), in
*Proc. of the 2003 ACM Symp. on Applied Computing.*ACM Press, New York, 2003, pp. 1009--1013.

- Shen, Z., An optimal broadcasting schema for multidimensional mesh structures (Extended Abstract), in
*Proc. of the 2003 ACM Symp. on Applied Computing.*ACM Press, New York, 2003, pp. 1019--1023.

- Shen, Z., An alternative routing algorithm for the pyramid structures, in
*Proc. of ISCA 17th International Conference on Computing and their Applications,*San Francisco, April 2002, pp. 487-490.

- Shen, Z., An optimal broadcasting schema for the mesh structures, in
*Proc. of ISCA 17th International Conference on Computing and their Applications,*San Francisco, CA, April 2002, pp. 273-276.

- Shen, Z., A routing algorithm for pyramid structures (Extended Abstract), in
*Proc. of the 2001 ACM Symp. on Applied Computing,*ACM Press, New York, 2001, pp. 484--488.

- Shen, Z., Calculation of average distance in the mesh structures (Extended Abstract), in
*Proc. of the 2000 ACM Symp. on Applied Computing.*ACM Press, New York, 2000, pp. 89-93.

- Shen, Z., Average diameter and its estimation in the non-linear structures (Intended Abstract), in
*Proc. of the 1999 ACM Symposium on Applied Computing,*ACM Press, New York, 1999, pp. 489--490.

- Shen, Z., Average diameter of network structures and its estimation, in
*Proc. of the 1998 ACM Symposium on Applied Computing,*ACM Press, New York, 1998, pp. 593--597.

- Shen, Z., The average diameter of binary trees structures (Extended Abstract), in
*Proc. of the 1997 ACM Symposium on Applied Computing,*ACM Press, New York, 1997, pp. 40--44.

- Wasserman, H. C., Yukawa, K., and Shen, Z., On quantitative measurement of negation in
logic programming (Intended Abstract), in
*Proc. of the 1996 ACM Symposium on Applied Computing,*ACM Press, New York, 1996. pp.58-62.

- Wasserman, H. C., Yukawa, K., and Shen, Z., An alternative transformation rule for logic
programming (Extended Abstract), in
*Proc. of 1995 ACM Symposium on Applied Computing,*ACM Press, New York, 1995, pp.364--368.

- Wasserman, H. C., and Shen, Z., The locality principle and completeness in logic
programming, in
*Proc. of 1994 ACM Symposium on Applied Computing*, ACM Press, 1994, pp. 286-- 291.

- Wasserman, H. C., Yukawa, K., and Shen, Z., The essential inadequacy
/of deduction in logic programming (Extended Abstract): in
*Proc. of the 1993 International Symposium on Logic Programming,*MIT Press, 1993, pp. 644.

- Drexel P., Shen, Z., and Urbach L., Characterization andimplementation of a mathematical model for a mesh system, in
*Proc. of the 1993 SCS Simulation Multi-Conference,*Arlington, VA, 1993, pp. 176-181.

- Shen, Z., Drexel, P., and Urbach, L., Packet delay predication in datagram mesh system, in
*Proc. of the 1993 ACM Symposium on Applied Computing,*ACM Press, 1993, pp. 539-545.

- Drexel, P., Rucinski, A., and Shen, Z., A probabilistic model of a mesh system with distributed routing, in
*Proc. of the Pacific-Rim International Conference on Modeling, Simulation and Identification,*Vancouver, BC, Canada, 1992, pp. 39-42.

- Cheng, E., Mao, Y. P., Qiu, K., Shen, Z., A general approach to deriving diagnosability results of interconnection networks. Submitted to
*Parallel Information Processing in Nature and Silicon*, World Scientific, 2020

- Cheng, E., Qiu, K., and Shen, Z., Edge forwarding index of the arrangment graph and the (n, k)-star graph.

- Cheng, E., Qiu, K., and Shen, Z., The 1- and 2-Extra Diagnosability of the Enhanced Hypercube.