Results 51 to 60 of about 1,592 (153)
Cubic edge-transitive graphs of order 2p3
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Dragan Marušič +2 more
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Edge-transitive graphs of small order and the answer to a 1967 question by Folkman [PDF]
Marston Conder, Gabriel Verret
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Semi-hyper-connected edge transitive graphs
A graph G is said to be hyper-connected if the removal of every minimum cut creates exactly two connected components, one of which is an isolated vertex. In this paper, we first generalize the concept of hyper-connected graphs to that of semi-hyper-connected graphs: a graph G is called semi-hyper-connected if the removal of every minimum cut of G ...
Jixiang Meng, Zhao Zhang
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Cubic edge‐transitive graphs of order 10p2 [PDF]
A graph is called edge‐transitive, if its automorphisms group acts transitively on the set of its edges. In this paper, we prove every connected cubic edge‐transitive graph of order 10p2 is a symmetric graph, where p is a prime.
M. Alaeiyan, M. Lashani
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ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$ [PDF]
A graph is called edge-transitive, if its full automorphismgroup acts transitively on its edge set. In this paper, we inquire theexistence of connected edge-transitive cubic graphs of order 58p2foreach prime p. It is shown that only for p = 29, there exists a uniqueedge-transitive cubic graph of order 58p2.DOI : http://dx.doi.org/10.22342/jims.21.2.193.
Mehdi Alaeiyan, laleh pourmokhtar
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Finite edge-transitive oriented graphs of valency four with cyclic normal quotients [PDF]
Jehan A. Al-bar +3 more
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On optimal comparability editing with applications to molecular diagnostics
Background The COMPARABILITY EDITING problem appears in the context of hierarchical disease classification based on noisy data. We are given a directed graph G representing hierarchical relationships between patient subgroups. The task is to identify the
Briesemeister Sebastian +2 more
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Temporal Ramsey Graphs: The Ramsey Kinematic Approach to the Motion of Systems of Material Points
The Ramsey approach is applied to analyses of the kinematics of systems built of non-relativistic, motile point masses/particles. This approach is based on colored graph theory. Point masses/particles serve as the vertices of the graph.
Edward Bormashenko
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Observations on graph invariants with the Lovász ϑ-function
This paper delves into three research directions, leveraging the Lovász $ \vartheta $-function of a graph. First, it focuses on the Shannon capacity of graphs, providing new results that determine the capacity for two infinite subclasses of strongly ...
Igal Sason
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A characterization of a family of edge-transitive metacirculant graphs
Abstract A characterization is given of the class of edge-transitive Cayley graphs of Frobenius groups Z r d : Z m with r an odd prime and m odd, of valency less than 2 p 1 with p 1 the smallest prime divisor of m .
Cai Heng Li +3 more
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