AN ACR CAPT TAXIES HIS ACFT PAST THE HOLDING POINT ON TXWY AA AND C WITHOUT HAVING A CLRNC FROM GND CTL.

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TAXIING VIA THE BRIDGE RTE. AT CHKPOINT 3 WE SWITCHED TO S COMPLEX GND FREQ OF 121.75 BUT WERE UNABLE TO TALK BECAUSE OF HVY USAGE BTWN GND CTL AND OTHER ACFT. A FOREIGN B727 WAS TOLD TO CONTINUE TAXI ON TXWY C AND HOLD SHORT OF TXWY AA. WE CALLED FOR 'TAXI TO GATE' IMMEDIATELY AFTER THAT; BUT OUR XMISSION WAS 'STEPPED ON' OR BLOCKED BY ANOTHER ACFT. I SHOULD HAVE STOPPED THE ACFT SHORT OF TXWY C AS DEPICTED ON THE LAX 10-9 PAGE. I ASSUMED ACR Y WAS HOLDING FOR US SO I CONTINUED PAST TXWY C AND STOPPED. AT THAT POINT; GND CTL ASKED US 'WHO GAVE US CLRNC TO CROSS TXWY C.' WE TOLD HIM WE CALLED JUST PRIOR BUT GOT 'BLOCKED' ON THE FREQ. GND CTL THEN INSTRUCTED ACR Y TO TURN R ON TXWY AA AND TAXI TO THE N COMPLEX. AFTER ABOUT 2 MINS GND TOLD US TO CONTINUE TAXI ON TXWY B. CONTRIBUTING FACTORS WERE: 1) TRYING TO CONTINUE TAXIING TO GATE WITHOUT STOPPING TO ENSURE ON TIME ARR. 2) ASSUMING GND CTL WANTED ACR Y TO HOLD FOR US. CORRECTIVE ACTIONS: FOLLOW ALL INSTRUCTIONS AND CLRNCS WITHOUT ASSUMING! HUMAN PERFORMANCE: POSSIBLE FATIGUE OR IMPAIRMENT OF JUDGEMENT DUE TO SEQUENCE OF FLYING OVER PAST 48 HRS. 'ALL NIGHTER' FROM LAS VEGAS TO CHICAGO WITH APPROX 12 HR LAYOVER DURING THE DAY; THEN CHICAGO TO LOS ANGELES.