TETRAVALENT HALF-TRANSITIVE GRAPHS OF ORDER 2P2

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GHASEMI MOHSEN

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

TETRAVALENT HALF-TRANSITIVE GRAPHS OF ORDER 2P2

Author(s)

GHASEMI MOHSEN

Keywords

HALF-TRANSITIVE GRAPHS

CAYLEY GRAPHS

SOLVABLE GROUPS

Abstract

GRAPH IS HALF-TRANSITIVE IF ITS AUTOMORPHISM GROUP ACTS TRANSITIVELY ON ITS VERTEX SET AND EDGE SET, BUT NOT ON ITS ARC SET. LET P BE A PRIME. CHAO [ON THE CLASSIFICATION OF SYMMETRIC GRAPHS WITH A PRIME NUMBER OF VERTICES, TRANS. AMER. MATH. SOC. 158 (1971) 247-256] PROVED THAT THERE ARE NO HALF-TRANSITIVE GRAPHS ON P VERTICES. BY CHENG AND OXLEY [ON WEAKLY SYMMETRIC GRAPHS OF ORDER TWICE A PRIME, J. COMBIN. THEORY B 42 (1987) 196-211], ALSO THERE ARE NO HALF-TRANSITIVE GRAPHS OF ORDER 2P. IN THIS PAPER AN EXTENSION OF THE ABOVE RESULTS IN THE CASE OF TETRAVALENT GRAPHS IS GIVEN. IT IS PROVED THAT THERE ARE NO TETRAVALENT HALF-TRANSITIVE GRAPHS OF ORDER 2P2.

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APA: Copy

GHASEMI, MOHSEN. (2009). TETRAVALENT HALF-TRANSITIVE GRAPHS OF ORDER 2P^{2. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904425/en}

Vancouver: Copy

GHASEMI MOHSEN. TETRAVALENT HALF-TRANSITIVE GRAPHS OF ORDER 2P^{2. 2009. Available from: https://sid.ir/paper/904425/en}

IEEE: Copy

MOHSEN GHASEMI, “TETRAVALENT HALF-TRANSITIVE GRAPHS OF ORDER 2P^{2,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904425/en}

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