AN ACR IS DIRECTED BY LAS TOWER TO REJECT ITS TKOF BECAUSE TFC LANDED LONG ON AN INTERSECTING RWY. TIRE FUSES DEFLATED TIRE AT THE GATE AFTERWARDS.

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ROUTINE OPS FROM THE GATE TO THE RWY. HELD SHORT OF THE RWY FOR SEVERAL MINS AFTER WHICH TIME THE TWR INDICATED WE WOULD GET A CLRNC SHORTLY -- THERE HAD BEEN A LOT OF DEP AND ARR ACTIVITY. AFTER APPROX 2 MINS WE WERE GIVEN A CLRNC INTO POS AND HOLD ON RWY 25R. AFTER 2-3 MORE MINS (IN POS ON THE RWY) THE TWR DIRECTED US TO COMMENCE OUR TKOF ROLL IMMEDIATELY ALONG WITH THE WORDS 'ACFT X CLRED FOR IMMEDIATE TKOF ON RWY 25R.' I RESPONDED THAT WE WERE ON THE ROLL AS THE FO ADVANCED PWR AND RELEASED BRAKES. AT APPROX 120 KTS THE TWR ANNOUNCED TO US THAT OUR TKOF CLRNC WAS CANCELED. NO ADDITIONAL AMPLIFYING INFO WAS PROVIDED. I ASSUMED THE PF DUTIES AND EXECUTED A MAX EFFORT HIGH SPD ABORT. AFTER CLRING THE RWY I ASKED THE TWR THE REASON FOR THE ABORT AND THEY RESPONDED THAT AN ACFT LNDG ON AN INTERSECTING RWY HAD LANDED LONG AND WAS GOING TO GO THROUGH THE INTXN. WE REQUESTED A FIRE DEPT RESPONSE FOR A HOT BRAKE INSPECTION. THEY INDICATED THAT NOTHING SEEMED AMISS. I REQUESTED THAT THEY FOLLOW ME TO THE GATE AS A PRECAUTION. AFTER SHUTDOWN AT THE GATE I ASKED THE PAX TO REMAIN ABOARD WHILE I DEPARTED THE ACFT TO MEET WITH THE FIRE MARSHALL AT THE L WING OF THE ACFT. A FIREMAN APCHED THE L MAIN GEAR WITH A THERMAL SENSOR TO GET A BRAKE TEMP READING. HIS RESPONSE WAS 700 DEGS C. HE DECIDED TO TRY A SECOND READING JUST TO BE SURE; BUT BEFORE HE COULD APCH THE L MAIN GEAR THE #1 WHEEL FUSE PLUG BLEW. I RACED TO THE PAX DECK AND DIRECTED AN IMMEDIATE EVAC OF THE ACFT THROUGH THE L1 DOOR. I BELIEVE THAT THE TWR OPS AT LAS NEEDS TO ADDRESS A GREATER INTERVAL BTWN TFC OPS ON INTERSECTING RWYS TO PREVENT HAVING TO COMMAND A HIGH SPD ABORT ON A DEPARTING ACFT.