A color-exchange algorithm for exact graph coloring

Author(s):  
Thomas J. Sager ◽  
Shi-Jen Lin

Author(s):  
Yibo Liu ◽  
Xuejing Hao ◽  
Yanjun Mao

At present, the mental health of college students has also become an important issue that urgently needs attention under the influence of the surrounding environment. It is coupled with the grim employment situation after graduation and the students’ psychological burden is becoming more and heavier. This paper based on Diffie-Hellman key exchange algorithm studied the effect of psychological stress intervention. First, the Diffie-Hellman key exchange algorithm was analyzed, and then the Diffie-Hellman prediction model was established according to the psychological pressure of college students. Secondly, the simulation test was conducted to compare the simulated results with the original data. The conclusion of the data fitting of the network model training set, verification set and test set were good and the error was very small. Finally, the detailed application of the algorithm and the model were described.



2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Hongyan Li ◽  
Xianfeng Ding ◽  
Jiang Lin ◽  
Jingyu Zhou

Abstract With the development of economy, more and more people travel by plane. Many airports have added satellite halls to relieve the pressure of insufficient boarding gates in airport terminals. However, the addition of satellite halls will have a certain impact on connecting flights of transit passengers and increase the difficulty of reasonable allocation of flight and gate in airports. Based on the requirements and data of question F of the 2018 postgraduate mathematical contest in modeling, this paper studies the flight-gate allocation of additional satellite halls at airports. Firstly, match the seven types of flights with the ten types of gates. Secondly, considering the number of gates used and the least number of flights not allocated to the gate, and adding the two factors of the overall tension of passengers and the minimum number of passengers who failed to transfer, the multi-objective 0–1 programming model was established. Determine the weight vector $w=(0.112,0.097,0.496,0.395)$ w = ( 0.112 , 0.097 , 0.496 , 0.395 ) of objective function by entropy value method based on personal preference, then the multi-objective 0–1 programming model is transformed into single-objective 0–1 programming model. Finally, a graph coloring algorithm based on parameter adjustment is used to solve the transformed model. The concept of time slice was used to determine the set of time conflicts of flight slots, and the vertex sequences were colored by applying the principle of “first come first serve”. Applying the model and algorithm proposed in this paper, it can be obtained that the average value of the overall tension degree of passengers minimized in question F is 35.179%, the number of flights successfully allocated to the gate maximized is 262, and the number of gates used is minimized to be 60. The corresponding flight-gate difficulty allocation weight is $\alpha =0.32$ α = 0.32 and $\beta =0.40$ β = 0.40 , and the proportion of flights successfully assigned to the gate is 86.469%. The number of passengers who failed to transfer was 642, with a failure rate of 23.337%.





2002 ◽  
Vol 37 (7) ◽  
pp. 130-138 ◽  
Author(s):  
Jeonghun Cho ◽  
Yunheung Paek ◽  
David Whalley
Keyword(s):  




2012 ◽  
Vol 4 ◽  
pp. 261-266 ◽  
Author(s):  
Vishal Donderia ◽  
Prasanta K. Jana
Keyword(s):  


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