(special to united press association.) (Received September 30, 0.55 a.m.) DEPLORABLE CONDITION OE KHARTOUM. DESPERATE STATE OF THE BESIEGED. London, September 29. Information has been received from Khartoum which discloses a deplorable state of things. Starvation is staring tho besieged garrison in the face, there being barely sufficient sup plies to last until the end of Sep tember, and everything in the way of provisions are being sold at famine prices. When the food gives out it is expected that tho fall of Khartoum is certain. All hope of being rescued by the British relief expedition has been abandoned by General Gordon, who has resolved that ho will never desert the women and children. The negro troops fight bravely, hut the rest are the veriest cowards, a few Arab horsemen being sufficient to drive hundreds of them back. Ten thousand men in Khartoum are joining the rebels, who are again besieging the town. Gordon has pro mised freedom to the slaves of the rebels who remain in Khartoum. The Times states that tho French Senate are almost certain to improve tho Recidivists Bill in the autumn, unless incensed by the Australian out cry. The French have searched two British trading vessels at Formosa. REUTER'S TELEOHAM3. (Received September 30, 1.10 a.m.) Melbourne, September 29. Arrived, this afternoon —P. and O. steamship Cathay, with the inward Suez mails, dated London, August 22. Cairo, September 28. General Lord Wolseley left Assiout to-day on his journey southwards. The Italian Consul-General has now protested against the suspension of the Caisse, but the protest was couched in milder terms than those employed by the representatives of the other European Powers. DEATH OF A WELL-KNOWN CRICKETER. London, September 29. Obituary—Frederick Morley, the well-known professional cricketer. GENERAL GORDON’S SUC CESSES. The Times in its issue this morning publishes letters from Khartoum re counting the events which occurred there from the lime communication was interrupted until recent dates. Tho letters state that from April until the end of July, General Gordon ? s troops had almost daily engagements with the Arab rebels, and repeatedly repulsed them with fearful losses. The conflicts with thefollowersoftheMahdi culminated in a brilliant victory which General Gordon secured on July 28th, Completely clearing the rebels away from the neighborhood of Khartoum. During the battle Colonel Stewart was wounded, hut has since recovered. 