1. Flip Graphs of Bounded Degree Triangulations

   • Oswin Aichholzer
   • Thomas Hackl
   • Bettina Speckmann

   Original Paper 07 October 2012 Pages: 1577 - 1593

2. On Coprimality Graphs for Symmetric Groups

   • John Ballantyne
   • Nicholas Greer
   • Peter Rowley

   Original Paper 31 October 2012 Pages: 1595 - 1622

3. On the Number of Edges in Geometric Graphs Without Empty Triangles

   • C. Bautista-Santiago
   • M. A. Heredia
   • J. Urrutia

   Original Paper 28 September 2012 Pages: 1623 - 1631

4. On the Ihara Zeta Function of Cones Over Regular Graphs

   • Paymun Bayati
   • Marius Somodi

   Original Paper 17 October 2012 Pages: 1633 - 1646

5. On Family of Graphs with Minimum Number of Spanning Trees

   • Zbigniew R. Bogdanowicz

   Original Paper 26 September 2012 Pages: 1647 - 1652

6. Finite Tournaments with a Nonempty Diamonds’ Support

   • Houcine Bouchaala
   • Youssef Boudabbous
   • Mohamed Baka Elayech

   Original Paper 02 October 2012 Pages: 1653 - 1673

7. Irreducible Triangulations of Surfaces with Boundary

   • Alexandre Boulch
   • Éric Colin de Verdière
   • Atsuhiro Nakamoto

   Original Paper 06 November 2012 Pages: 1675 - 1688

8. Stack Domination Density

   • Timothy Brauch
   • Paul Horn
   • D. Jacob Wildstrom

   Original Paper 12 September 2012 Pages: 1689 - 1711

9. Colouring Clique-Hypergraphs of Circulant Graphs

   • C. N. Campos
   • S. Dantas
   • C. P. de Mello

   Original Paper 22 January 2013 Pages: 1713 - 1720

10. On Spanning Disjoint Paths in Line Graphs

    • Ye Chen
    • Zhi-Hong Chen
    • Erling Wei

    Original Paper 02 October 2012 Pages: 1721 - 1731

11. Rainbow Connection Number, Bridges and Radius

    • Jiuying Dong
    • Xueliang Li

    Original Paper 15 September 2012 Pages: 1733 - 1739

12. On Polygons Excluding Point Sets

    • Radoslav Fulek
    • Balázs Keszegh
    • Igor Uljarević

    Original Paper 27 September 2012 Pages: 1741 - 1753

13. Two Forbidden Subgraph Pairs for Hamiltonicity of 3-Connected Graphs

    • Zhiquan Hu
    • Houyuan Lin

    Original Paper 27 October 2012 Pages: 1755 - 1775

14. Paired-Domination in Claw-Free Graphs

    • Shenwei Huang
    • Liying Kang
    • Erfang Shan

    Original Paper 12 September 2012 Pages: 1777 - 1794

15. Some Infinite Classes of Optimal (v, {3, 4}, 1, Q)-OOCs with \({Q \in \{(\frac {1}{3}, \frac {2}{3}), (\frac {2}{3}, \frac{1}{3})\}}\)

    • Jing Jiang
    • Dianhua Wu
    • Moon Ho Lee

    Original Paper 26 September 2012 Pages: 1795 - 1811

16. On Suborbital Graphs for the Extended Modular Group \({\hat{\Gamma}}\)

    • Serkan Kader
    • Bahadır Özgür Güler

    Original Paper 18 September 2012 Pages: 1813 - 1825

17. The Hamilton-Waterloo Problem with 4-Cycles and a Single Factor of n-Cycles

    • Melissa S. Keranen
    • Sibel Özkan

    Original Paper 28 September 2012 Pages: 1827 - 1837

18. A Unifying Approach for Proving Hook-Length Formulas for Weighted Tree Families

    • Markus Kuba
    • Alois Panholzer

    Original Paper 11 September 2012 Pages: 1839 - 1865

19. On Unicyclic Graphs with Uniquely Restricted Maximum Matchings

    • Vadim E. Levit
    • Eugen Mandrescu

    Original Paper 12 October 2012 Pages: 1867 - 1879

20. The Signed Edge-Domatic Number of a Graph

    • Xiang-Jun Li
    • Jun-Ming Xu

    Original Paper 24 September 2012 Pages: 1881 - 1890

21. Neighborhood Unions and Z ₃-Connectivity in Graphs

    • Liangchen Li
    • Xiangwen Li

    Original Paper 05 October 2012 Pages: 1891 - 1898

22. Nowhere-Zero 3-Flows of Graphs with Independence Number Two

    • Rong Luo
    • Zhengke Miao
    • Rui Xu

    Original Paper 29 September 2012 Pages: 1899 - 1907

23. On the Number of Genus Embeddings of Complete Bipartite Graphs

    • Zeling Shao
    • Yanpei Liu
    • Zhiguo Li

    Original Paper 04 October 2012 Pages: 1909 - 1919

24. On the Chromaticity of Quasi Linear Hypergraphs

    • Ioan Tomescu
    • Sana Javed

    Original Paper 26 September 2012 Pages: 1921 - 1926

25. A Turán-Type Problem on Distances in Graphs

    • Mykhaylo Tyomkyn
    • Andrew J. Uzzell

    Original Paper 07 November 2012 Pages: 1927 - 1942

26. The Number of Occurrences of a Fixed Spread among n Directions in Vector Spaces over Finite Fields

    • Le Anh Vinh

    Original Paper 30 October 2012 Pages: 1943 - 1949

27. Ascending Subgraph Decompositions of Tournaments of Order 6n + 3

    • Brian C. Wagner

    Original Paper 26 September 2012 Pages: 1951 - 1959

28. The Signed k-Submatchings in Graphs

    • Changping Wang

    Original Paper 06 September 2012 Pages: 1961 - 1971

29. On Edge Cut of Graphs Leaving Components of Order at Least Five

    • Jichang Wu
    • Jianping Ou

    Original Paper 10 May 2012 Pages: 1973 - 1981

30. Two Equivalent Properties of \(\mathcal{Z}_3\)-Connectivity

    • Rui Xu

    Original Paper 03 June 2012 Pages: 1983 - 1987

31. The Algebraic Connectivity of Graphs with Given Matching Number

    • Bao-Xuan Zhu

    Original Paper 10 July 2012 Pages: 1989 - 1995