Results 91 to 100 of about 41,334 (304)

Total Colorings of Embedded Graphs with No 3-Cycles Adjacent to 4-Cycles

Discussiones Mathematicae Graph Theory, 2018
A total-k-coloring of a graph G is a coloring of V ∪ E using k colors such that no two adjacent or incident elements receive the same color. The total chromatic number χ′′(G) of G is the smallest integer k such that G has a total-k-coloring.
Wang Bing, Wu Jian-Liang, Sun Lin
doaj   +1 more source

On Total Colorings of Graphs

Journal of Combinatorial Theory, Series B, 1993
AbstractWe show that as n → ∞ the proportion of graphs on vertices 1, 2, ..., n with total chromatic number χ″ > Δ + 1 is very small; and the proportion with χ″ > Δ + 2 is very very small. Here Δ denotes the maximum vertex degree. We also give an easy new deterministic upper bound on χ″ (proved randomly).
Mcdiarmid, C., Reed, B.
openaire   +1 more source

Molecular characterisation of human penile carcinoma and generation of paired epithelial primary cell lines

Molecular Oncology, EarlyView.
Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad, Mahmood Hachim, Tom Bertin, Karolina Penderecka, Rifat Hamoudi, Saif Khan, Rui Henrique, Natalie Bergmoser, Manit Arya, Kalle Sipila, Matteo Vietri Rudan, Asif Muneer, Aamir Ahmed   +12 more
wiley   +1 more source

List total coloring of pseudo-outerplanar graphs [PDF]

, 2013
Xin Zhang
openalex   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

A Note on Neighbor Expanded Sum Distinguishing Index

Discussiones Mathematicae Graph Theory, 2017
A total k-coloring of a graph G is a coloring of vertices and edges of G using colors of the set [k] = {1, . . . , k}. These colors can be used to distinguish the vertices of G. There are many possibilities of such a distinction.
Flandrin Evelyne, Li Hao, Marczyk Antoni, Saclé Jean-François, Woźniak Mariusz   +4 more
doaj   +1 more source

Monitoring of circulating tumor DNA allows early detection of disease relapse in patients with operable breast cancer

Molecular Oncology, EarlyView.
Monitoring circulating tumor DNA (ctDNA) in patients with operable breast cancer can reveal disease relapse earlier than radiology in a subset of patients. The failure to detect ctDNA in some patients with recurrent disease suggests that ctDNA could serve as a supplement to other monitoring approaches.
Kristin Løge Aanestad, Marie Austdal, Oddmund Nordgård, Gunnar Mellgren, Satu Oltedal, Marie L. Austbø, Ylva H. Vignes, Thomas Helland, Kristin Jonsdottir, Tone H. Lende, Emilius A. M. Janssen, Bjørnar Gilje, Kjersti Tjensvoll, PBCB study group, Gunnar Mellgren, Tone Hoel Lende, Anette Heie, Kristin Viste, Anita Røyneberg Alvheim, Emiel AM Janssen, Kristin Jonsdottir, Ann Cathrine Kroksveen, Thomas Helland, Einar Gudlaugsson, Oddmund Nordgård, Satu Oltedal, Kristin Løge Aanestad, Jan Terje Kvaløy, Kirsten Lode, Kari Britt Hagen, Marie Austdal, Ylva H. Vignes, Siri Tungland Sola, Nina Egeland Amundsen, Finn Magnus Eliassen, Emeritus Ernst A Lien   +35 more
wiley   +1 more source

Odd facial total-coloring of unicyclic plane graphs [PDF]

Discrete Mathematics Letters, 2022
Július Czap
doaj   +1 more source

Weak Total Coloring Conjecture and Hadwiger’s Conjecture on Total Graphs

The Electronic Journal of Combinatorics
The total graph of a graph $G$, denoted by $T(G)$, is defined on the vertex set $V(G)\cup E(G)$ with $c_1,c_2 \in V(G)\cup E(G)$ adjacent whenever $c_1$ and $c_2$ are adjacent to (or incident on) each other in $G$. The total chromatic number $\chi''(G)$ of a graph $G$ is defined to be the chromatic number of its total graph.
Basavaraju, Manu, Chandran, L. Sunil, Francis, Mathew C., Naskar, Ankur   +3 more
openaire   +1 more source

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

Molecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola, Rafael Lopes Goncalves, Marin Truchi, Caroline Lacoux, Célia Scribe, Hugo Cadis, Laetitia Guardini, Sophie Bekisz, Marius Ilié, Paul Hofman, Georges Vassaux, Bernard Mari, Roger Rezzonico   +12 more
wiley   +1 more source