Results 81 to 90 of about 138,741 (178)
Similarly to Wiener index, hyper-Wiener index of a connected graph is a widely applied topological index measuring the compactness of the structure described by the given graph. Hyper-Wiener index is the sum of the distances plus the squares of distances
Mujahed Hamzeh, Nagy Benedek
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Steinitz theorems for simple orthogonal polyhedra
We define a simple orthogonal polyhedron to be a three-dimensional polyhedron with the topology of a sphere in which three mutually-perpendicular edges meet at each vertex.By analogy to Steinitz's theorem characterizing the graphs of convex polyhedra, we
David Eppstein, Elena Mumford
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Equitable colorings of ��-corona products of cubic graphs [PDF]
A graph G is equitably k-colorable if its vertices can be partitioned into k independent sets in such a way that the number of vertices in any two sets differ by at most one.
Hanna Furmańczyk, Marek Kubale
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Permutations and cubic graphs [PDF]
Brenner, J. L., Lyndon, R. C.
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Total domination in cubic Kn��del graphs
A subset $D$ of vertices of a graph $G$ is a \textit{dominating set} if for each $u\in V(G)\setminus D$, $u$ is adjacent to some vertex $v\in D$. The \textit{dominating number}, $ (G)$ of $G$, is the minimum cardinality of a dominating set of $G$. A set $D\subseteq V(G)$ is a \textit{total dominating set} if for each $u\in V(G)$, $u$ is adjacent to ...
Jafari Rad, Nader +3 more
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Perfect Pseudo-Matchings in Cubic Graphs
AbstractA M in a cubic graph G is a spanning subgraph of G such that every component of M is isomorphic to $$K_2$$ K 2 or to $$K_{1,3}$$ K 1 ,
Herbert Fleischner +2 more
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It is shown that a graph with maxima degree 3 and diameter \(d\geq 4\) cannot have exactly two vertices less than the Moore bound.
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Classifying cubic symmetric graphs of order 88p and 88p 2
For a simple graph Γ\Gamma , Γ\Gamma is said to be ss-regular, provided that the automorphism group of Γ\Gamma regularly acts on the set consisting of ss-arcs of Γ\Gamma .
Zhai Liangliang
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Expansion properties of Whitehead moves on cubic graphs
The present note concerns the “graph of graphs” that has cubic graphs as vertices connected by edges represented by the so-called Whitehead moves. Here, we prove that the outer-conductance of the graph of graphs tends to zero as the number of vertices ...
Grave de Peralta, Laura +1 more
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Disjoint Paired-Dominating sets in Cubic Graphs. [PDF]
Bacsó G, Bujtás C, Tompkins C, Tuza Z.
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