orph isms ▁( see ▁group ▁action ▁for ▁an ▁explanation ▁of ▁this ) ▁of ▁vertex - trans itive ▁graphs , ▁the ▁existence ▁of ▁Hamiltonian ▁paths ▁and ▁cycles ▁in ▁vertex - trans itive ▁graphs , ▁and ▁the ▁structures ▁of ▁semi - sym metric ▁graphs ▁and ▁half - trans itive ▁graphs . ▁With ▁co - auth ors , ▁he ▁proved ▁that ▁the ▁Gray ▁graph ▁on ▁ 5 4 ▁vertices ▁is ▁the ▁smallest ▁cub ic ▁semi - sym metric ▁graph . ▁ ▁He ▁has ▁well ▁over ▁ 1 0 0 ▁publications . ▁ ▁Personal ▁life ▁Mar u š ič ▁is ▁married ▁and ▁has ▁two ▁sons . ▁ ▁His ▁brother , ▁Dor ij an ▁Mar u š ič ▁was ▁the ▁Minister ▁of ▁Health ▁for ▁Sloven ia . ▁ ▁External ▁links ▁ ▁Selected ▁publications ▁ ▁References ▁ ▁Category : 1 9 5 3 ▁birth s ▁Category : L iving ▁people ▁Category : S lo ven ian ▁mathemat icians ▁Category : Graph ▁the or ists ▁Category : Al umn i ▁of ▁the ▁University ▁of ▁Reading ▁Category : 2 0 th - century ▁British ▁mathemat icians ▁Category : 2 1 st - century ▁British ▁mathemat icians ▁Category : Univers ity ▁of ▁Prim or ska ▁fac ulty ▁Category : Pe ople ▁from ▁K oper ▁Category : Univers ity ▁of ▁L jub lj ana ▁fac ulty ▁Category : Univers ity ▁of ▁L jub lj ana ▁al umn i <0x0A> </s> ▁Jen ő ▁Bar cs ay ▁( 1 4 ▁January ▁ 1 9 0 0 , ▁Kat ona , ▁Austria – H ung ary