Results 21 to 30 of about 969,174 (273)

Moore mixed graphs from Cayley graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2023
This research has been partially supported by AGAUR from the Catalan Government under project 2021SGR00434 and MICINN from the Spanish Government under project PID2020-115442RBI00.
Dalfó Simó, Cristina   +1 more
openaire   +2 more sources

Sequence mixed graphs

open access: yesDiscrete Applied Mathematics, 2017
A mixed graph can be seen as a type of digraph containing some edges (two opposite arcs). Here we introduce the concept of sequence mixed graphs, which is a generalization of both sequence graphs and iterated line digraphs. These structures are proven to be useful in the problem of constructing dense graphs or digraphs, and this is related to the ...
Dalfó Simó, Cristina   +2 more
openaire   +5 more sources

A family of mixed graphs with large order and diameter 2 [PDF]

open access: yes, 2017
A mixed regular graph is a connected simple graph in which each vertex has both a fixed outdegree (the same indegree) and a fixed undirected degree.
Araujo Pardo, Gabriela   +3 more
core   +2 more sources

$\mathcal{B}$-Partitions, determinant and permanent of graphs [PDF]

open access: yesTransactions on Combinatorics, 2018
Let $G$ be a graph (directed or undirected) having $k$ number of blocks $B_1, B_2,\hdots,B_k$. A $\mathcal{B}$-partition of $G$ is a partition consists of $k$ vertex-disjoint subgraph $(\hat{B_1},\hat{B_1},\hdots,\hat{B_k})$ such that $\hat{B}_i$ is an ...
Ranveer Singh, Ravindra Bapat
doaj   +1 more source

Computing the Mixed Metric Dimension of a Generalized Petersen Graph P(n, 2)

open access: yesFrontiers in Physics, 2020
Let Γ = (V, E) be a connected graph. A vertex i ∈ V recognizes two elements (vertices or edges) j, k ∈ E ∩ V, if dΓ(i, j) ≠ dΓ(i, k). A set S of vertices in a connected graph Γ is a mixed metric generator for Γ if every two distinct elements (vertices or
Hassan Raza, Ying Ji
doaj   +1 more source

On fixed-parameter tractability of the mixed domination problem for graphs with bounded tree-width [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
A mixed dominating set for a graph $G = (V,E)$ is a set $S\subseteq V \cup E$ such that every element $x \in (V \cup E) \backslash S$ is either adjacent or incident to an element of $S$. The mixed domination number of a graph $G$, denoted by $\gamma_m(G)$
M. Rajaati   +3 more
doaj   +1 more source

The gamma-Signless Laplacian Adjacency Matrix of Mixed Graphs

open access: yesTheory and Applications of Graphs, 2023
The α-Hermitian adjacency matrix Hα of a mixed graph X has been recently introduced. It is a generalization of the adjacency matrix of unoriented graphs. In this paper, we consider a special case of the complex number α.
Omar Alomari   +2 more
doaj   +1 more source

Computing Fault-Tolerant Metric Dimension of Connected Graphs

open access: yesJournal of Mathematics, 2022
For a connected graph, the concept of metric dimension contributes an important role in computer networking and in the formation of chemical structures.
Uzma Ahmad   +3 more
doaj   +1 more source

MixedGraphinFuzzy,Neutrosophic, and Plithogenic Graphs [PDF]

open access: yesNeutrosophic Sets and Systems
Graph theory examines networks consisting of nodes (vertices) and the connections (edges) between them. Mixed graphs, which combine both undirected and directed edges, provide a versatile framework for representing relationships with symmetric and ...
Florentin Smarandache, Takaaki Fujita
doaj   +1 more source

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