Results 1 to 10 of about 39,743 (263)
On alpha labeling of tensor product of paths and cycles [PDF]
Heliyon, 2023 In this article, we find an α-valuation for disjoint union of some bipartite graphs and the tensor product of paths and even cycles.
Uma L, Rajasekaran G
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L(2,1)-Labeling of the Strong Product of Paths and Cycles [PDF]
The Scientific World Journal, 2014 An L(2,1)-labeling of a graph G=(V,E) is a function f from the vertex set V(G) to the set of nonnegative integers such that the labels on adjacent vertices differ by at least two and the labels on vertices at distance two differ by at least one. The span
Zehui Shao, Aleksander Vesel
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Computing paths and cycles in biological interaction graphs [PDF]
BMC Bioinformatics, 2009 Background Interaction graphs (signed directed graphs) provide an important qualitative modeling approach for Systems Biology. They enable the analysis of causal relationships in cellular networks and can even be useful for predicting qualitative aspects
von Kamp Axel, Klamt Steffen
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Destroying Multicolored Paths and Cycles in Edge-Colored Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 We study the computational complexity of $c$-Colored $P_\ell$ Deletion and $c$-Colored $C_\ell$ Deletion. In these problems, one is given a $c$-edge-colored graph and wants to destroy all induced $c$-colored paths or cycles, respectively, on $\ell ...
Nils Jakob Eckstein +3 more
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Problems on Shortest k-Node Cycles and Paths
Кібернетика та комп'ютерні технології, 2021 The paper is devoted to the construction of mathematical models for problems on the shortest cycles and paths, that pass through a given number of nodes of a directed graph.
Petro Stetsyuk +2 more
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On \delta^(k)-colouring of Powers of Paths and Cycles
Theory and Applications of Graphs, 2021 In a proper vertex colouring of a graph, the vertices are coloured in such a way that no two adjacent vertices receive the same colour, whereas in an improper vertex colouring, adjacent vertices are permitted to receive same colours subjected to some ...
Merlin Ellumkalayil, Sudev Naduvath
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Broadcasting on paths and cycles
Discrete Mathematics, 2022 arXiv admin note: text overlap with arXiv:2003 ...
Reaz Huq, Paweł Prałat
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The Optimal Rubbling Number of Paths, Cycles, and Grids
Complexity, 2021 A pebbling move on a graph G consists of the removal of two pebbles from one vertex and the placement of one pebble on an adjacent vertex. Rubbling is a version of pebbling where an additional move is allowed, which is also called the strict rubbling ...
Zheng-Jiang Xia, Zhen-Mu Hong
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Criticality indices of 2-rainbow domination of paths and cycles [PDF]
Opuscula Mathematica, 2016 A \(2\)-rainbow dominating function of a graph \(G\left(V(G),E(G)\right)\) is a function \(f\) that assigns to each vertex a set of colors chosen from the set \(\{1,2\}\) so that for each vertex with \(f(v)=\emptyset\) we have \({\textstyle\bigcup_{u\in ...
Ahmed Bouchou, Mostafa Blidia
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Characterization of signed paths and cycles admitting minus dominating function [PDF]
Communications in Combinatorics and Optimization, 2020 Let $G=(V,E,\sigma)$ be a finite signed graph. A function $f: V \rightarrow\{-1,0,1\}$ is a minus dominating function (MDF) of $ G $ if $f(u)+\sum_{v \in N(u)} \sigma (uv)f(v)\geq 1 $ for all $ u\in V $. In this paper we characterize signed paths and
S.R. Shreyas, M. Joseph
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