Results 51 to 60 of about 1,592 (153)

Cubic edge-transitive graphs of order 2p3

open access: yesDiscrete Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dragan Marušič   +2 more
openaire   +1 more source

Semi-hyper-connected edge transitive graphs

open access: yesDiscrete Mathematics, 2006
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
openaire   +2 more sources

Cubic edge‐transitive graphs of order 10p2 [PDF]

open access: yesAIP Conference Proceedings, 2010
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
openaire   +2 more sources

ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$ [PDF]

open access: yesJournal of the Indonesian Mathematical Society, 2015
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
openaire   +2 more sources

Finite edge-transitive oriented graphs of valency four with cyclic normal quotients [PDF]

open access: green, 2022
Jehan A. Al-bar   +3 more
openalex   +1 more source

On optimal comparability editing with applications to molecular diagnostics

open access: yesBMC Bioinformatics, 2009
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
doaj   +1 more source

Temporal Ramsey Graphs: The Ramsey Kinematic Approach to the Motion of Systems of Material Points

open access: yesDynamics
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
doaj   +1 more source

Observations on graph invariants with the Lovász ϑ-function

open access: yesAIMS Mathematics
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
doaj   +1 more source

A characterization of a family of edge-transitive metacirculant graphs

open access: yesJournal of Combinatorial Theory, Series B, 2014
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
openaire   +2 more sources

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