THE STATIONARY DISTRIBUTION OF A CONTINUOUS-TIME RANDOM GRAPH PROCESS WITH INTERACTING EDGES

Acta mathematica scientia,Series B ›› 1994, Vol. 14 ›› Issue (S1): 98-102.

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THE STATIONARY DISTRIBUTION OF A CONTINUOUS-TIME RANDOM GRAPH PROCESS WITH INTERACTING EDGES

Han Dong

Dept. of Math., University of Xinjiang, Urumuqi 830046, China

Received:1992-08-06 Online:1994-12-31 Published:1994-12-31
Supported by:
This work is supported in part by National Natural Science Foundation of China for Youth.

Abstract

Abstract: In previous papers, the stationary distributions of a class of discrete and continuous time random graph processes with state space consisting of the simple and directed graphs on N venices were studied. In this paper, the random graph graph process is extended one impotent step further by allowing interaction of edges. Similarly, We obtha the expressions of the stationary distributions and prove that the process is ergodic under different editions.

Key words: Random graph prooes, Minimum Q-process, Stationary distribution, Ergodicity

Han Dong. THE STATIONARY DISTRIBUTION OF A CONTINUOUS-TIME RANDOM GRAPH PROCESS WITH INTERACTING EDGES[J].Acta mathematica scientia,Series B, 1994, 14(S1): 98-102.

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THE STATIONARY DISTRIBUTION OF A CONTINUOUS-TIME RANDOM GRAPH PROCESS WITH INTERACTING EDGES

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