Results 31 to 40 of about 1,592 (153)
Cubic semisymmetric graphs of order $ 40p $ [PDF]
A simple graph $\Gamma$ is called semisymmetric if it is regular and edge-transitive but not vertex-transitive. A simple graph $\Gamma$ is called cubic whenever it is $ 3 $-regular.
Mohammad Reza Salarian +1 more
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Recipes for edge-transitive tetravalent graphs
This paper presents all constructions known to the authors which result in tetravalent graphs whose symmetry groups are large enough to be transitive on the edges of the graph.
Primož Potočnik, Stephen E. Wilson
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A family of edge-transitive Cayley graphs [PDF]
Edge-transitive graphs of order a prime or a product of two distinct primes with any positive integer valency, and of square-free order with valency at most 7 have been classified by a series of papers. In this paper, a complete classification is given of edge-transitive Cayley graphs of square-free order with valency less than the smallest prime ...
Jiangmin Pan, Zhaofei Peng
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Characterization of perfect matching transitive graphs
A graph G is perfect matching transitive, shortly PM-transitive, if for any two perfect matchings M and N of G, there is an automorphism f : V(G) ↦ V(G) such that fe(M) = N, where fe(uv) = f(u)f(v). In this paper, the author proposed the definition of PM-
Ju Zhou
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On metric dimension of edge comb product of vertex-transitive graphs [PDF]
Suppose finite graph $G$ is simple, undirected and connected. If $W$ is an ordered set of the vertices such that $|W| = k$, the representation of a vertex $v$ is an ordered $k$-tuple consisting distances of vertex $v$ with every vertices in $W$. The set $
Tita Maryati +3 more
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Super-connected edge transitive graphs
AbstractA graph G is said to be super-connected if any minimum cut of G isolates a vertex. In a previous work due to the second author of this note, super-connected graphs which are both vertex transitive and edge transitive are characterized. In this note, we generalize the characterization to edge transitive graphs which are not necessarily vertex ...
Jixiang Meng, Zhao Zhang
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The step Sidorenko property and non-norming edge-transitive graphs [PDF]
Comment: Minor correction on page ...
Daniel Král͏̌ +3 more
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Finite edge-transitive dihedrant graphs
AbstractIn this paper, we first prove that each biquasiprimitive permutation group containing a regular dihedral subgroup is biprimitive, and then give a classification of such groups. The classification is then used to classify vertex-quasiprimitive and vertex-biquasiprimitive edge-transitive dihedrants.
Hua Zhang +3 more
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Blockchain can potentially be deployed in a wide range of applications due to its capability to ensure decentralization, transparency, and immutability. In this paper, we design a cryptographic membership authentication scheme (i.e., authenticating graph
Chao Lin +4 more
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On edge-transitive Cayley graphs of valency four
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cai Heng Li, Ming Yao Xu, Xin Gui Fang
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