Results 71 to 80 of about 18,582 (315)

On hamiltonian colorings of graphs

open access: yesDiscrete Mathematics, 2005
The authors give a lower bound for the circumference of a graph in terms of the number of vertices that receive colors between two specified colors in a Hamiltonian coloring of the graph. As a consequence, if there exists a Hamiltonian coloring of a connected graph \(G\) of order \(n\) such that at least \((n+2)/2\) vertices of \(G\) are colored with ...
Gary Chartrand   +2 more
openaire   +2 more sources

Colorful Paths in Vertex Coloring of Graphs [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2011
A colorful path in a graph $G$ is a path with $\chi(G)$ vertices whose colors are different. A $v$-colorful path is such a path, starting from $v$. Let $G\neq C_7$ be a connected graph with maximum degree $\Delta(G)$. We show that there exists a $(\Delta(G)+1)$-coloring of $G$ with a $v$-colorful path for every $v\in V(G)$.
Saieed Akbari   +2 more
openaire   +2 more sources

On Twin Edge Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2014
A twin edge k-coloring of a graph G is a proper edge coloring of G with the elements of Zk so that the induced vertex coloring in which the color of a vertex v in G is the sum (in Zk) of the colors of the edges incident with v is a proper vertex coloring.
Andrews Eric   +4 more
doaj   +1 more source

Relaxed DP-Coloring and another Generalization of DP-Coloring on Planar Graphs without 4-Cycles and 7-Cycles

open access: yesDiscussiones Mathematicae Graph Theory, 2023
DP-coloring is generalized via relaxed coloring and variable degeneracy in [P. Sittitrai and K. Nakprasit, Su cient conditions on planar graphs to have a relaxed DP-3-coloring, Graphs Combin. 35 (2019) 837–845], [K.M. Nakprasit and K.
Sribunhung Sarawute   +3 more
doaj   +1 more source

Deciphering transcriptional plasticity in pancreatic ductal adenocarcinoma reveals alterations in sensory neuron innervation

open access: yesMolecular Oncology, EarlyView.
Pancreatic sensory neurons innervating healthy and PDAC tissue were retrogradely labeled and profiled by single‐cell RNA sequencing. Tumor‐associated innervation showed a dominant neurofilament‐positive subtype, altered mitochondrial gene signatures, and reduced non‐peptidergic neurons.
Elena Genova   +14 more
wiley   +1 more source

Pewarnaan Titik Ketakteraturan Lokal Inklusif pada Keluarga Graf Unicyclic

open access: yesContemporary Mathematics and Applications (ConMathA), 2022
The graph in this paper is a simple and connected graph with V(G) is vertex set and  E(G) is edge set. An inklusif local irregularity vertex coloring is defined should be maping l:V(G) í  {1,2,..., k} as vertex labeling and wi : V(G) í  N is function of ...
Arika Indah Kristiana   +2 more
doaj   +1 more source

Adaptor protein CIN85 potentiates the motility of osteosarcoma cells via the Akt/mTOR and MMP2‐COL3A1 axis

open access: yesMolecular Oncology, EarlyView.
CIN85 is highly expressed in osteosarcoma, particularly in metastatic lesions. Its overexpression increases cell migration and Matrigel invasion, while silencing CIN85 suppresses these behaviors. Transcriptome analysis shows that CIN85 regulates MMP2, COL3A1, and Akt/mTOR signaling. Targeting these pathways reverses CIN85‐induced motility, highlighting
Iryna Horak   +10 more
wiley   +1 more source

Longitudinal circulating tumor DNA profiling in patients with advanced endometrial cancer using an off‐the‐shelf targeted NGS panel

open access: yesMolecular Oncology, EarlyView.
Intratumour heterogeneity complicates precision management of advanced endometrial cancer. Circulating tumor DNA (ctDNA) offers a minimally invasive strategy to capture tumor evolution and therapeutic resistance. Here, we compare tumor‐agnostic NGS with tumor‐informed ddPCR, outlining their relative sensitivity, concordance, and clinical implications ...
Carlos Casas‐Arozamena   +15 more
wiley   +1 more source

Corrigendum to "Embedding Graphs into Colored Graphs" [PDF]

open access: yesTransactions of the American Mathematical Society, 1992
The authors give a corrected exposition of the proof of Theorem 12 of their quoted paper [ibid. 307, No. 1, 395-409 (1988; Zbl 0659.03029)].
Hajnal, András, Komjáth, P.
openaire   +2 more sources

MATHEMATICA APPLICATION FOR GRAPH COLORING AT THE INTERSECTION OF JALAN PANGERAN ANTASARI JAKARTA

open access: yesAksioma: Jurnal Program Studi Pendidikan Matematika, 2017
This research examines about graph coloring using Welch-Powell algorithm. This research begins by trying to understand about graph coloring and its algorithm. The case study was conducted at the intersection of Pangeran Antasari Street.
Suwarno Suwarno
doaj   +1 more source

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