1. On a Generalized Basic Series and New Combinatorial Interpretations of G¨ollnitz–Gordon Identities
   • S. Anand and A. K. Agarwal 1–8
2. Series for 1/? Arising from Certain Representations for Eisenstein Series in Ramanujan’s Second Notebook
   • Nayandeep Deka Baruah and Narayan Nayak 9–30
3. What is a q-Series?
   • Bruce C. Berndt 31–51
4. A Proof of the General Theta Transformation Formula
   • Bruce C. Berndt, Chadwick Gugg, Sarachai Kongsiriwong
     and Johann Thiel 53–62
5. Some Applications of Ramanujan’s Remarkable Summation Formula
   
   • S. Bhargava 63–72
6. A New Proof of Winquist’s Identity
   • Song Heng Chan 73–78
7. Theta Function Identities for Level 15
   • Shaun Cooper 79–86
8. Biranks for Partitions into 2 Colors
   • F. G. Garvan 87–111
9. The Number of Representations of a Number by Various Forms Involving Triangles, Squares, Pentagons and Octagons
   • Michael D. Hirschhorn 113–124
10. On the 2-, 3-, 4- and 6-Dissections of Ramanujan’s Cubic Continued Fraction and its Reciprocal
    • Michael D. Hirschhorn and Roselin 125–138
11. Coupled Systems of Differential Equations for Modular forms of Level n
    • Tim Huber 139–156
12. The Overcubic Partition Function mod 3
    • Byungchan Kim 157–163
13. A Theta Function Identity and Applications
    • Zhi-Guo Liu 165–183
14. Some New Schl¨afli-Type Modular Equations in the Quartic Theory
• M. S. Mahadeva Naika and S. Chandan Kumar 185–199

Table of Contents

1. Domination in Hypergraphs II. New Directions B. D. Acharya 1–18

2. Chain Decompositions of Normalized Matching Posets of Rank 2 Andrew Pearsall and Shahriar Shahriari 19–32

3. On 1-Well-Covered Graphs Arthur S. Finbow and Bert L. Hartnell 33–44

4. New Challenges in the Theory of Hypergraph ColoringG´abor Bacs´o, Csilla Bujt´as, Zsolt Tuza and Vitaly Voloshin 45–57

5. A General Approach to Distance-Two Colouring of Graphs on SurfacesJan van den Heuvel 59–67

6. Graceful Labelings of Unicyclic GraphsJay Bagga and Adrian Heinz 69–79

7. The Spectra of Super Line MultigraphsJay Bagga, Robert B. Ellis and Daniela Ferrero 81–89

8. Out-Branchings with Extremal Number of LeavesJørgen Bang-Jensen and Gregory Gutin 91–99

9. Stability of Irregularity Strength on tK4 and K1 ∪ CnK. M. Kathiresan and K. Muthugurupackiam 101–108

10. Some Inequalities for Imbalances in Oriented GraphsMerajuddin and Madhukar Sharma 109–117

11. A Note on Weak Chain-Completeness and Fixed Point Property forPseudo Ordered Sets S. Parameshwara Bhatta and Shiju George 119–123

12. Connectivity of Random Addable GraphsPaul Balister, B´ela Bollob´as and Stefanie Gerke 125–132

13. Variations of Graph Coloring, Domination, and Combinations of Both:A Brief Survey Renu Laskar, Jobby Jacob and Jeremy Lyle 133–152

14. Directionally n-Signed Graphs E. Sampathkumar, P. Siva Kota Reddy and M. S. Subramanya 153–160

15. 3-Consecutive Vertex Coloring of a GraphE. Sampathkumar, M. S. Subramanya and Charles Dominic 161–170

16. Recent Developments on the Structure of Cartesian Products of GraphsSandi Klavˇzar 171–177

17. Not so Easy Problems for Tree Decomposable Graphs Stefan Szeider 179–190

18. List Hereditary Colorings of Graphs (Extended Abstract)C. R. Subramanian 191–205

19. Matrices in the Theory of Signed Simple Graphs Thomas Zaslavsky 207–229

20. On Cordiality of One Point Unions and One Edge Unions of Some Classesof Graphs Ujwala Deshmukh and N. B. Limaye 231–241

21. Some Cycle Related Cordial Graphs in the Context of Vertex SwitchingS. K. Vaidya, Sweta Srivastav, V. J. Kaneria and Kailas Kanani 243–252

Table of Contents

1. Classical Modular Forms and Galois Representations T. Schmidt 1–14

2. Λ-adic Forms and the Iwasawa Main Conjecture D. Banerjee, E. Ghate and Narasimha Kumar 15–47

3. Ribet’s Construction of a Suitable Cusp Eigenform A. Saikia 49–65

4. Ribet’s Modular Construction of Unramified p-extensions of Q(μp)C. S. Dalawat 67–81

5. Fitting Ideals F. A. E. Nuccio Mortarino Majno di Capriglio 83–95

6. Deligne-Ribet’s work on L-values O. Venjakob 97–112

7. The Main Conjecture J. Coates and R. Sujatha 113–140

Table of Contents

1. Ricci Flow and Negative Curvature C. S. Aravinda 1–10

2. Shafarevich Conjecture for Genus-2 Fibrations R. V. Gurjar 11–15

3. Orthogonal Multiplications and Minimal Submanifolds of Spheres Kee Yuen Lam 17–27

4. Lectures on Topological Methods in the study of Bilinear Forms Kee Yuen Lam 29–47

5. On Algebraic Deformation Theory Goutam Mukherjee 49–65

6. Bruhat-Tits Theory M. S. Raghunathan 67–71

7. Lectures on the Wall’s Finiteness Obstruction K. Varadarajan 73–91

8. Fox Homotopy Groups, Gottlieb Groups, Rhodes Groups, andGeneralized Whitehead Products Peter Wong 93–99

9. Combinatorial and Geometric Group Theoretic Methods in Fixed PointTheory Peter Wong 101–132

10. Mini-Course: An Introduction to 2-Homology Peter Zvengrowski 133–170

Table of Contents

1. Introduction Indranil Biswas, Ravi S. Kulkarni, Sudeb Mitra 1–3

2. Teichm¨uller Spaces as Complex Manifolds: Warwick 1992Clifford J. Earle 5–33

3. Moduli C. S. Seshadri 35–39

4. On the Divergence of Certain Geodesic Rays in Teichm¨uller SpaceAbdelhadi Belkhirat 41–51

5. On the Non-Quasi-Isometry of the Teichm¨uller Metric and Thurston’sWeak Metric Abdelhadi Belkhirat 53–60

6. Notes on Vector Bundles on CurvesUsha N. Bhosle and Indranil Biswas 61–93

7. Moduli Spaces of Connections on a Riemann Surface  Indranil Biswas and Vicente Mu˜noz 95–111

8. Teichm¨uller Geodesics, Delaunay Trinagulations, and Veech GroupsJoshua P. Bowman 113–129

9. Introductory Bumponomics: The Topology of Deformation Spaces ofHyperbolic 3-Manifolds Richard P. Canary 131–150

10. A Short Note on Nonemptyness of Parabolic Moduli Arijit Dey 151–166

11. Limit Set of Quasiconformal Mapping Class Group on AsymptoticTeichm¨uller Space Ege Fujikawa 167–178

12. Finite Earthquakes and the AssociahedronFrederick P. Gardiner and Jun Hu 179–194

13. A Short Course on Teichm¨uller’s Theorm F. P. Gardiner and Jun Hu 195–228

14. Prime Order Automorphism of Riemann Surfaces Jane Gilman 229–246

15. On Complex Curves and Complex Surfaces Defined Over Number Fields Ernesto Girondo and Gabino Gonz´alez-Diez 247–280

16. Moduli Spaces for Principal Bundles in Large CharactersiticsTom´as L. G´omez, Adrian Langer, Alexander H. W. Schmitt andIgnacio Sols 281–371

17. Some Remarks About Curves on K3 Surfaces Mihai Halic 373–385

18. The Moduli Stack of Vector Bundles on a Curve Norbert Hoffman 387–394

19. The Klein-Maskit Combination Theorems John Hubbard 395–412

20. Function Models for Teichm¨uller Spaces and Dual Geometric Gibbs TypeMeasure Theory for Circle Dyanamics Yunping Jiang 413–435

21. Stable Maps into the Classifying Space of the General Linear GroupIvan Kausz 437–449

22. Limit Points of Iterated Function Systems Linda Keen and Nikola Lakic 451–463

23. SaddleDrop: A Tool for Studying Dyanamics in C2 Sarah C. Koch 465–479

24. The Action of Elliptic Modular Transformations on Asymptotic Teichm¨uller Spaces Katsuhiko Matsuzaki 481–488

25. Cannon-Thurston Maps and Bounded Geometry Mahan Mj 489–511

26. Computing a Generating Set of Arithmetic Kleinian Groups Gregory Muller 513–517

27. Contents viiOn the Spectrum of Asymptotic SlopesA. J. Parameswaran and S. Subramanian 519–528

28. Rigidity, Past and Present Chris Peters 529–548

29. On the Art of Calculating Accessory Parameters of Conformal Mappingsof Circular Arc Polygons—General Considerations and Special Situations R. Michael Porter 549–576

30. Denjoy-Wolf Theorem on Riemann Surfaces Hiroshige Shiga 577–582

31. Cardioids and Teichm¨uller Spaces Toshiyuki Sugawa 583–596

32. Stratifying the Space of Moduli Anthony Weaver 597–618

Table of Contents

1. Linear Representations and Arithmeticity of Lattices in Products of Trees Marc Burger, Shahar Mozes and Robert J. Zimmer 1–25

2. Some Aspects of Profinite Group Theory Dan Segal 27–60

3. Ultrapowers of Lie Groups, a Question of Gromov, and the MargulisConjecture Linus Kramer and Katrin Tent 61–77

4. Commensurators of Some Non-uniform Tree Lattices and Moufang TwinTrees Peter Abramenko and Bertrand R´emy 79–104

5. Kac-Moody Groups as Discrete Groups Bertrand R´emy 105–124

6. Construction and Automorphisms of Buildings Mark A. Ronan 125–143

7. Zeta Functions of Nilpotent Groups – Singular Pfaffians Christopher Voll 145–159

Table of Contents

1. Spectral Theory in Banach Algebras Bhaskar Bagchi 1–20

2. Some Linear Operators and their Invariant Subsets Gilles Godefroy 21–50

3. An Introduction to E0-semigroups Geoffrey Price 51–85

4. An Introduction to Basic Functional Analysis T. S. S. R. K. Rao 87–100

Table of Contents

1. List-colorings and the Number of Colorings of a Graph, Carsten Thomassen 1

2. Homomorphisms, Dualities and CSP, Jaroslav Neˇsetˇril 9

3. Introduction to the Minimum Cost Homomorphism Problem for Directed and Undirected Graphs, Gregory Gutin 25

4. Refinements of Ramanujan’s Congruence Modulo 5, Herbert S. Wilf 39

5. Almost Ramsey Type Theorems for Directed Graphs, S.B. Rao and Sushmita Ruj 43

6. Some Recent Results on Domination in Graphs(An Extended Abstract), M.D. Plummer 55

7. Resistance Matrix and q-Laplacian of a Unicyclic Graph, R.B. Bapat 63

8. A Discussion of Constrained Binary Embeddings withApplications to Cryptanalysis of Irregularly Clocked StreamCiphers, Diane M. Donovan, James Lefevre and Leonie Simpson 73

9. Disjoint Dominating Sets in Graphs, Sandra M. Hedetniemi, Stephen T. Hedetniemi, Renu C. Laskar,Lisa Markus and Peter J. Slater 87

10. On the Complexity of the Geodetic and Convexity Numbersof a Graph, Mitre C. Dourado, F´abio Protti and J. L. Szwarcfiter 101

11. Non-binary Codes via the Trace Map, Asha Rao and N. Pinnawalai 109

12. Vertex Identifying Codes for Fault Isolation in Communication Networks, Krishnaiyan Thulasiraman, Min Xu, Ying Xiao and Xiao-Dong Hu 115

13. On the Berge’s k-Optimal Path Partition Conjecture, Sriraman Sridharan 125

14. Circular Perfect Graphs, Xuding Zhu 131

15. Generalized Colourings and Matrix Partitions, Pavol Hell 141

16. Applications of Orthogonal Arrays to Computer Science, K. Gopalakrishnan and Douglas R. Stinson 149

17. Forbidden Intersection Patterns in the Families of Subsets, Gyula O.H. Katona 165

18. Directed Odd Cycle Decompositions of Some RegularDigraphs, R.S. Manikandan, P. Paulraja and S. Sivasankar 175

19. Packing and Domination Invariants on Cartesian Products andDirect Products, Douglas F. Rall 183

20. Independent Domination and Graph Colorings, S. Arumugam, I. Sahul Hamid and A. Muthukamatchi 195

21. Graph Equivalences and Decompositions Definable in MonadicSecond-Order Logic. The Case of Circle Graphs, Bruno Courcelle 205

22. Restrained Domination in Graphs, Johannes H. Hattingh 217

23. Some Properties of the Clique Graph of a Cograph, S. Aparna Lakshmanan and A.VijayakumariiContents 227

24.  ˆ Sk Sk-Factorization of Symmetric Digraph of Tensor Product of Graphs, P. Hemalatha and A. Muthusamy 233

25. Some New Degree Concepts in Graphs, S.S. Kamath and R.S. Bhat 237

26. The Edge C4 Graph of a Graph, Manju K. Menon and A.Vijayakumar 245

27. Topological Properties of the Set of All Minimal Dominating Functions of Graphs, K. Reji Kumar 249

28. γt-Graph of a Graph G, S. Amutha and N. Sridharan 255

29. Some Combinatorial Results on Pcodes, K. Sasikala, V.R. Dare and D.G. Thomas 263

30. Characterizing Defect 1-Extendable Bipartite Graphs and an Algorithm, Xuelian Wen and Dingjun Lou 271