Felix P. Muga II Associate Professor, Mathematics Department, Ateneo de Manila University Senior Fellow, Center for People Empowerment in Governance (CenPEG) e-mail: fpmuga@admu.edu.ph, fmuga@ateneo.edu, lex_muga@yahoo.com blogspot: IRON59’S PLACE

Journal

· Amending Republic Act 7941 Otherwise Known as the Pary-List System Act , Matimyas Matematika, Vol 28., Nos. 1-3, 2005

· “On the Seat Allocation Method of the Party-List Sytem in the Philippines”, The Loyola Schools Review, Vol. 4, 2005

· “On Cluster Systems with Single-Switch Latency”, Matimyas Matematika, Vol. 25, Jan. 2002, pp. 82-97.

· “On the Wide-Diameter of the Johnson Graph J(n,k)”, The Loyola Schools Review, Vol. 1, 2001, pp. 78-88, (with J.D.L. Caro, H.N. Adorna, G. Baes)

• “Development of a Beowulf-Class High Performance Computing System for Computational Science Applications”, Science Diliman, Vol. 13, No. 2, pp. 97-99, July-December 2001 (with R. Saldaña, J. Garcia and W. Yu)
• ``A Graph-Based Design for a Flat-Neighborhood Symmetric Cluster," Matimyas Matematika, Vol. 24, No.2, pp 24-41, May 2001 (with W.E.S. Yu)
• ``Factorial N-Cubes: A New Hierarchical Network Topology," Matimyas Matematika, Vol. 23, No. 2,  May 2000, pp. 30-41  (with D.S. Wei and M. Palis) (postscript)
• ``Isomorphism of Degree Four Cayley Graph and Wrapped Butterfly and Their Optimal Permutation Routing Algorithm," IEEE Transactions on Parallel and Distributed Systems, Vol. 10, No. 12, December 1999 (with D. S.L. Wei and K. Naik).
• ``On Hamiltonian Decomposition, Embeddings and Diameter of Certain Circulant    Graphs," Southeast Asian Bulletin of Mathematics (1999) 22: pp. 117-126.
• ``Maximal Order of 3- and 5- Regular Circulant Graphs."   Matimyas Matematika, September 1999, (postscript)
• ``On Vertex Pairs in Ternary n-Cubes,"  Matimyas Matematika, Vol. 22, no. 2, May 1999. (postscript)
• ``On Graphs with Isomorphic Adjacency-Induced Subgraphs," Matimyas Matematika, Vol. 18, No.2, pp. 1-8, 1995.

Proceedings

• “On the Generalization of the Pancake Network”, Proceedings of the 2002 International Symposium on Parallel Architectures, Algorithms and Networks, pp. 173-178, Ateneo de Manila University, May 22-24, 2002.
• “A Gigantic Graph-Based Symmetric Cluster with a Single-Switch Latency”, Proceedings of the First Southeast Asian Forum on High Performance Computing, Kasetsart University, Bangkok, Thailand, July 2001. (with R.P. Saldaña and W.E. Yu)
• ``A Proposed Topology for a 192-Processor Symmetric Cluster with a Single-Switch Delay",
  Proceedings of the 2000 Philippine Computing Science Conference,  (with W.E. Yu)
• ``Project Agila: The Ateneo High Performance Computing System," Proceedings of the 2000 National Physics Congress,  October 2000
• ``Bandwidth of Some Hierarchical Circulant Networks," Proceedings, 1999 Philippine Computer Conference,
  (with A.B. Vizcarra, J.G. Baniaga, M.L.P. Siacor, M.G. Virata).
• ``Wide-Diameter of Generalized Undirected de Bruijn Graph UGB,(n,n2),"
  Proceedings,1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97),     (with Henry Escuadro).
• ``On Isomorphism of the Wrapped Butterfly Network and Degree Four Cayley Graphs," Proceedings 1996 International Conference on Parallel and Distributed Processing Techniques and Algorithms, Vol 1., pp. 403-406     (with D.S.L. Wei).
• "The Wide-Diameter of the Generalized De Bruijn Graphs UGB(n,n(n+1))", Proceedings, 1996 International Symposium on Parallel Architectures, Algorithms, and Networks, (ISPAN'96)  (with J. Caro, L. Nochefranca, and P. Sy)
• On Undirected Circulant Networks, Proceedings,1994 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '94),  December 1994, pp. 113-116.
• ``Wheels in the Graph $G(p_n)$. Proc. Annual Sympo. Math. Sci. Division, NRCP, 1993.

Newspaper Publication

· On the Party-List Seat Allocation Issue, Opinion Section, Yellow Pad Column of BusinessWorld, July 23, 2007 edition, page S1/4.

· Party-List System: Mathematical Absurdity (2), Opinion Section, Talk of the Town Column of the Philippine Daily Inquirer, July 1, 2007 edition, page 14

· The Veterans Formula of the Supreme Court Contradicts the Principle of Proportional Representation, Opinion Section, Yellow Pad Column of BusinessWorld, May 14, 2007 edition, page S1/5.

· The Mathematics of the Party-List (First of 3 Parts), Eureka! Column of Queena Lee-Chua, April 30, 2007, (WHAT does math have to contribute to politics? My colleague Dr. Felix P. Muga II [fmuga@ateneo.edu], associate professor at the Ateneo de Manila Mathematics Department, contributes some thoughts regarding good seat allocation for our party-list system.)

· The Mathematics of the Party-List (Second of 3 Parts), Eureka! Column of Queena Lee-Chua, May 7, 2007, (LAST week my Ateneo de Manila Mathematics Department colleague, Dr. Felix P. Muga II [fmuga at ateneo dot edu], outlined three indices that can be used to analyze the six bills proposed as amendments to Republic Act 7941, the Party-List System Act.)

· The Mathematics of the Party-List (Last of 3 Parts), Eureka! Column of Queena Lee-Chua, May 14, 2007, (FOR THE LAST two weeks, we have looked at my Ateneo de Manila colleague Dr. Felix P. Muga II's [fmuga at ateneo dot edu] analysis of five house bills proposed as amendments to Republic Act 7941, the Party-List System Act. Dr. Muga used three indices as the basis for his analysis. Let us conclude the discussion.)

Talks

• On the Party-List Seat Allocation Issue, Ateneo de Naga, Camarines Sur, July 23, 2007
• The Mathematics of the Philippine Party-List System, University of the Philippines, Baguio City, July 9, 2007
• Seat Allocation Problem and Solution of the Philippine Party-List System, University of the Philippines, Manila City, June 27, 2007
• Proportional Representation and the Panganiban Formula, Inter-Party-List Task Force Poll Watch, University of the Philippines, Diliman, Quezon City, June 13, 2007
• On the Philippine Party-List System: A Mathematical Analysis, International Conference, Philippine Political Science Association, April 2-3, 2007
• On the Seat Allocation Error and the Principle of Proportional Representation, Philippine Computing Society Congress, February 23, 2007
• On Panganiban Seat Allocation Method, Philippine-American Academy of Science and Engineering, February 15-17, 2007
• Finding the Best Seat Allocation Method for the Party-List System in the Philippines, Mathematical Society of the Philippines, May 21-22, 2005
• Exploring Factorial Numbers, Philippine Computing Society Congress, 4 March 2005
• On the Square Root Problem, Model 2005, University of Cebu, 3 March 2005
• On the Secant Method, Model 2005, University of Cebu, 3 March 2005
• On the Party-List System in the Philippines, 2004 Annual Scientific Meeting, Division, National Research Council of the Philippines, 14 November 2004
• Counting the Number of Simple Words, Philippine Science High School, 22 April 2004
• On Computing the Break-Even Class Size, Pamantasan ng Lunsod ng Muntinglupa, February 12, 2004
• m-Label of a Graph, 2003 Annual Scientific Meeting, Mathematical Sciences Division, National Research Council of the Philippines, 7 January 2004
• Cluster, 2001 MSP National Convention, University of St. La Salle- Bacolod City, Philippines, May 2001
• A FNN Design for Super Clusters Using COTS Technology, Symposium on High-Performance Computing and Networking, 23 June 2001, Ateneo de Manila University
• Routing in a Symmetric Cluster, 2001 MSP National Convention, University of St. La Salle- Bacolod City, Philippines, May 2001
• On Cluster System with Single Switch Latency, International Mathematics Conference in honor of  Fr. Bienvenido Nebres, De La Salle University, Manila, Philippines, 24 February 2001
• Computing the Final State of the k-Block of a Hybrid Torus Cellular Automata, NRCP - Division II Annual Symposium, July 15, 2000,  University of the Philippines-Los Banos

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