Intervals and Convex Sets in Strong Product of Graphs

1. Anand B.S., Changat M., Klavžar S., Peterin I.: Convex sets in lexicographic products of graphs. Graphs Combin. 28, 77–84 (2012)

   Article  MathSciNet  MATH  Google Scholar 

2. Cáceres J., Hernando M.C., Mora M., Pelayo I.M., Puertas M.L.: On the geodetic and the hull numbers in strong product graphs. Comput. Math. Appl. 60, 3020–3031 (2010)

   Article  MathSciNet  MATH  Google Scholar 

3. Calder J.: Some elementary properties of interval convexities. J. London Math. Soc. 3, 422–428 (1971)

   Article  MathSciNet  MATH  Google Scholar 

4. Changat M., Mathew J.: On triangle path convexity in graphs. Discret. Math. 206, 91–95 (1999)

   Article  MathSciNet  MATH  Google Scholar 

5. Changat M., Mulder H.M., Sierksma G.: Convexities related to path properties on graphs. Discret. Math. 290, 117–131 (2005)

   Article  MathSciNet  MATH  Google Scholar 

6. Ghidewon A.-A., Hammack R.: Centers of tensor product of graphs. Ars. Combin. 74, 201–211 (2005)

   MathSciNet  Google Scholar 

7. Graovac A., Pisanski T.: On the Wiener index of a graph. J. Math. Chem. 8, 53–62 (1991)

   Article  MathSciNet  Google Scholar 

8. Hammack R., Imrich W., Klavžar S.: Handbook of Product Graphs, 2nd Edn. CRC Press, Boca Raton (2011)

   MATH  Google Scholar 

9. Imrich W., Klavžar S., Rall D.F.: Topics in Graph Theory: Graphs and Their Cartesian Product. A K Peters, Wellesley (2008)

   MATH  Google Scholar 

10. Kim S.-R.: Centers of a tensor composite graph. Congr. Numer. 81, 193–203 (1991)

    MathSciNet  Google Scholar 

11. Körner J., Pilotto C., Simonyi G.: Local chromatic number and Sperner capacity. J. Combin. Theory Ser. B 95, 101–117 (2005)

    Article  MathSciNet  MATH  Google Scholar 

12. Král D., Maxová J., Šámal R., Podbrdský P.: Hamiltonian cycles in strong products of graphs. J. Graph Theory 48, 299–321 (2005)

    Article  MathSciNet  MATH  Google Scholar 

13. Mulder, H.M.: The interval function of a graph. In: Mathematical Centre Tracts, vol. 132. Mathematisch Centrum, Amsterdam (1980)

14. Morgana M.A., Mulder H.M.: The induced path convexity, betweenness and svelte graphs. Discret. Math. 254, 349–370 (2002)

    Article  MathSciNet  MATH  Google Scholar 

15. Santhakumaran A.P., Ullas Chandran S.V.: The geodetic number of strong product graphs. Discuss. Math. Graph Theory 30, 687–700 (2010)

    Article  MathSciNet  MATH  Google Scholar 

16. Santhakumaran A.P., Ullas Chandran S.V.: The hull number of strong product graphs. Discuss. Math. Graph Theory 31, 493–507 (2011)

    Article  MathSciNet  MATH  Google Scholar 

17. Špacapan S.: Connectivity of strong product of graphs. Graphs Combin. 26, 457–467 (2010)

    Article  MathSciNet  MATH  Google Scholar 

18. van de Vel, M.L.J.: Theory of Convex Structures. North Holland, Amsterdam (1993)

19. Yeh Y.N., Gutman I.: On the sum of all distances in composite graphs. Discret. Math. 135, 359–365 (1994)

    Article  MathSciNet  MATH  Google Scholar 

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