Results 1 to 10 of about 407,618 (322)

On alpha labeling of tensor product of paths and cycles [PDF]

open access: goldHeliyon, 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
doaj   +4 more sources

L(2,1)-Labeling of the Strong Product of Paths and Cycles [PDF]

open access: yesThe 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
doaj   +2 more sources

On Hamiltonian Paths and Cycles in Sufficiently Large Distance Graphs [PDF]

open access: diamondDiscrete Mathematics & Theoretical Computer Science, 2014
Graph ...
Christian Löwenstein   +2 more
doaj   +2 more sources

Computing paths and cycles in biological interaction graphs [PDF]

open access: yesBMC 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
doaj   +2 more sources

Counting Arithmetical Structures on Paths and Cycles [PDF]

open access: yesDiscrete Mathematics, 2018
Let G be a finite, connected graph. An arithmetical structure on G is a pair of positive integer vectors d, r such that (diag (d) - A) r=0 , where A is the adjacency matrix of G.
Braun, Benjamin   +8 more
core   +7 more sources

On the Metric Dimension of Generalized Tensor Product of Interval with Paths and Cycles [PDF]

open access: goldJournal of Mathematics, 2020
The concept of minimum resolving set for a connected graph has played a vital role in Robotic navigation, networking, and in computer sciences. In this article, we investigate the values of m and n for which P2⊗mPn and P2⊗mCn are connected and find ...
Song Li, Jia-Bao Liu, Mobeen Munir
doaj   +2 more sources

Destroying Multicolored Paths and Cycles in Edge-Colored Graphs [PDF]

open access: yesDiscrete 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
doaj   +1 more source

Problems on Shortest k-Node Cycles and Paths

open access: yesКібернетика 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
doaj   +1 more source

On \delta^(k)-colouring of Powers of Paths and Cycles

open access: yesTheory 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
doaj   +1 more source

The Optimal Rubbling Number of Paths, Cycles, and Grids

open access: yesComplexity, 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
doaj   +1 more source

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