B.Ed.(Hons)(Melit.),M.Sc.(Melit.),Ph.D.(R'dg.)

Department of Mathematics

Room 318

Maths & Physics Building

University of Malta

Msida

+356 2340 2357

__Biography

- Graph Theory

BORUZANLI EKINCI, G. and GAUCI, J.B., 2020. The super-connectivity of Johnson graphs. . *Discrete Mathematics & Theoretical Computer Science, *.

BORUZANLI EKINCI, G. and GAUCI, J.B., 2020. The super-connectivity of odd graphs and of their Kronecker double cover, *RAIRO Operations Research, *.

FOWLER, P.W., GAUCI, J.B., GOEDGEBEUR, J., PISANSKI, T. and SCIRIHA, I., 2020. Existence of Regular Nut Graphs for Degree at Most 11. *Discussiones Mathematicae Graph Theory, ***40**(2, pages: 533 - 557),.

BORUZANLI EKINCI, G. and GAUCI, J.B., 2019. The Super-Connectivity of Kneser Graphs. *Discussiones Mathematicae Graph Theory, ***39**, pp. 5-11.

GAUCI, J.B. and ZERAFA XUEREB, C., 2019. A note on isomorphic generalized Petersen graphs with an application to the crossing number of *GP*[3*k* - 1, *k*] and *GP*[3*k* + 1, *k*]. *Discrete Mathematics Letters, ***2**, pp. 44-46.

SCIRIHA, I., ALI, D.A., GAUCI, J.B. and SHARAF, K., 2019. The conductivity of superimposed key-graphs with a common one-dimensional adjacency nullspace. *Ars Math.Contemp., ***16**, pp. 141-155.

BORUZANLI EKINCI, G. and GAUCI, J.B., 2018. The diameter vulnerability of the generalized Petersen graph *GP*[*tk*,*k*]. *Turkish Journal of Mathematics, ***42**, pp. 2897-2915.

BORUZANLI EKINCI, G. and GAUCI, J.B., 2017. On the reliability of generalized Petersen graphs. *Discret.Appl.Math., ***252**, pp. 2-9.

ALI, D.A., GAUCI, J.B., SCIRIHA, I. and SHARAF, K.R., 2016. Coalescing Fiedler and core vertices. *Czechoslovak Mathematical Journal, ***66**(3), pp. 971-985.

ALI, D.A., GAUCI, J.B., SCIRIHA, I. and SHARAF, K.R., 2016. Nullity of a Graph with a Cut–Edge. *MATCH Commun. Math. Comput. Chem., ***76**, pp. 771-791.

FARRUGIA, A., GAUCI, J.B. and SCIRIHA, I., 2016. Non-Singular graphs with a singular deck. *Discrete Applied Mathematics, ***202**, pp. 50-57.

FARRUGIA, A., GAUCI, J.B. and SCIRIHA, I., 2015. Complete graphs with zero diagonal inverse. *ARS MATHEMATICA CONTEMPORANEA, ***11**(2), pp. 231-245.

SCIRIHA, I., FARRUGIA, A. and GAUCI, J.B., 2014. The adjacency matrices of complete and nutful graphs. *MATCH Commun. Math. Comput. Chem., ***72**(1), pp. 165-178.

FARRUGIA, A., GAUCI, J.B. and SCIRIHA, I., 2013. On the inverse of the adjacency matrix of a graph. *Special Matrices, ***1**, pp. 28-51.

GAUCI, J.B., HILTON, A.J.W. and STARK, D., 2013. Wiggles and finitely discontinuous *k-*to-1 functions between graphs. *Journal of Graph Theory, ***74**(3), pp. 275-308.

GAUCI, J.B. and HILTON, A.J.W., 2010. Continuous *k*-to-1 functions between complete graphs whose orders are of a different parity. *Journal of Graph Theory, ***65**(1), pp. 35-60.

DUGDALE, J.K., FIORINI, S., HILTON, A.J.W. and GAUCI, J.B., 2008. Continuous *k*-to-1 functions between complete graphs of even order. *Discrete Math., ***310**(2), pp. 330-346.

FIORINI, S. and GAUCI, J.B., 2003. The crossing number of P[3*k*,*k*]. *Mathematica Bohemica, ***128**(4), pp. 337-347.

FIORINI, S. and GAUCI, J.B., 2002. New Results and Problems on Crossing Numbers. *Rendiconti del Seminario Matematico di Messina, ***2**(8), pp. 29-47.

FIORINI, S. and GAUCI, J.B., 2001. Necessary and sufficient conditions for the Zarankiewicz conjecture on crossing numbers. *Graph Theory Notes of New York, ***41**, pp. 17-21.

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