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GrapHi-C: Graph-based visualization of Hi-C Datasets [article]

Kimberly MacKay, Anthony Kusalik, Christopher H. Eskiw
2017 bioRxiv   pre-print
Graphs were visualized in Cytoscape with an edge-weighted spring embedded layout where vertices and linear interaction edges were coloured according to their corresponding chromosome.  ...  Specifically, the graph based visualizations clearly highlighted the loss of structural globules and a greater intermingling of chromosomes in the mutant strain when compared to the wild-type.  ...  Vertices and the linear edges were coloured according to their corresponding chromosome.  ... 
doi:10.1101/156679 fatcat:62f3bieo7rhq7jd5sewjpyd424

GrapHi-C: graph-based visualization of Hi-C datasets

Kimberly MacKay, Anthony Kusalik, Christopher H. Eskiw
2018 BMC Research Notes  
Each edge was weighted by the inverse of the linear distance (Hi-C experimental resolution) or the interaction frequency from the contact map.  ...  Results: Normalized contact maps were converted into undirected graphs where each vertex represented a genomic region and each edge represented a detected (intra-and inter-chromosomal) or known (linear  ...  Nodes were manually coloured according to their corresponding chromosome and edges were hidden in the exported images for simplicity.  ... 
doi:10.1186/s13104-018-3507-2 pmid:29958536 pmcid:PMC6025839 fatcat:bcxyvudvyrcprftrfn5on3ut7e

Global Weyl groups and a new theory of multiplicative quiver varieties

Philip Boalch
2015 Geometry and Topology  
This involved a modular interpretation of many Nakajima quiver varieties, as moduli spaces of connections, whenever the underlying graph was a complete k-partite graph (or more generally a supernova graph  ...  However in the isomonodromy story, or wild nonabelian Hodge theory, slightly larger moduli spaces of connections are considered.  ...  A "coloured graph" is a graph Γ (with nodes I and edges Γ), together with a colouring of each edge (i.e. a map γ : Γ → C to the set C of colours), such that each connected component of each monochromatic  ... 
doi:10.2140/gt.2015.19.3467 fatcat:32szo5vyc5ew5dam7z4yyqdq6i

A colourful classification of (quasi) root systems and hyperplane arrangements [article]

Gabriele Rembado
2022 arXiv   pre-print
We will introduce a class of graphs with coloured edges to encode root subsystems of the classical root systems, which in particular classify them up to the Weyl-group action, extending a previous construction  ...  We will further use these graphs to describe root-kernel intersections, as well as a natural quotient operation that corresponds to taking restrictions of root (sub)systems on such intersections, so that  ...  edges of green/different colour.  ... 
arXiv:2206.03779v1 fatcat:2alld25rprh6jfzxu6fpddbc4q

Page 5893 of Mathematical Reviews Vol. , Issue 93k [page]

1993 Mathematical Reviews  
A wild component is an incompletely defined connected subgraph having p vertices and p — 1 unspecified edges, so that a W-graph is a partially known graph.  ...  A graph G is n-extendable if it contains a set of m independent 05C Graph theory 93k:05162 edges and every set of n independent edges can be extended to a perfect matching of G.  ... 

Nowhere dense graph classes, stability, and the independence property [article]

Hans Adler, Isolde Adler
2010 arXiv   pre-print
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors.  ...  For subgraph-closed classes of graphs we prove equivalence to stability and to not having the independence property.  ...  Stability of coloured digraphs In this section we extend Lemma 5 to classes of vertex-and edge-coloured directed graphs.  ... 
arXiv:1011.4016v1 fatcat:ugcfw2bh4rfuxkeabtvjcmpfee

Page 500 of The Athenaeum Vol. , Issue 4435 [page]

1912 The Athenaeum  
With beautiful Colour Frontispiece and 48 pages of Illustrations, Cloth gilt, coloured edges. ALL ABOUT AIRSHIPS By RALPH SIMMONDS.  ...  With Colour Frontis- iece by Cuaries Dixon, R.L, and a large number of Eiestentions from Photographs. Coloured edges, cloth gilt. SONS OF THE SEA By Capt. FRANK H. SHAW.  ... 

Page 128 of The Athenaeum Vol. , Issue 4004 [page]

1904 The Athenaeum  
With 18 Coloured Plates, Cloth gilt, 6. The BUTTERFLIES and MOTHS of EUKOPE. With 54 Coloured Plates and numerous Illustrations, Cloth gilt, 21s. net, WILD NATURE'S WAYS.  ...  Illustrated from Photo- graphs taken direct from Nature by C. KEAR- TON. 3s. 6d.; cloth gilt, gilt edges, 5s. from Photographs. 10s. 6d. WITH NATURE and a CAMERA.  ... 

Multiple-Wordlength Resource Binding [chapter]

George A. Constantinides, Peter Y. K. Cheung, Wayne Luk
2000 Lecture Notes in Computer Science  
A novel formulation of the resource binding problem is presented as an optimal colouring problem on a resource conflict graph, and several algorithms are developed to solve this problem.  ...  Results collected from many sequencing graphs illustrate the effectiveness of the heuristics developed in this paper, demonstrating significant area reductions over more traditional approaches.  ...  Acknowledgements The authors would like to acknowledge the support of Hewlett-Packard Laboratories and the Engineering and Physical Sciences Research Council, U.K.  ... 
doi:10.1007/3-540-44614-1_69 fatcat:hbnl5kl5tvh57njdosrewa43ye

Page 856 of The Nation and Athenaeum Vol. 8, Issue 21 [page]

1911 The Nation and Athenaeum  
Hunting Editor of the Field. With Coloured plates and numerous illustrations. Cloth gilt, gilt edges. 25s. net .  ...  Pall Mall Gazette says: | “The result is a gallery of beauty in every respect, | handsomely reproduced.” Photographed in Colours direct from Nature. Wild Flowers as they Grow. By H.  ... 

Interpreting nowhere dense graph classes as a classical notion of model theory

Hans Adler, Isolde Adler
2014 European journal of combinatorics (Print)  
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of complete graphs that occur as r-minors.  ...  For subgraph-closed classes of graphs we prove equivalence to stability and to not having the independence property.  ...  Here we will only consider underlying graphs of coloured digraphs, in which case the construction amounts to forgetting the colours, loops, and edge directions. Lemma 6.  ... 
doi:10.1016/j.ejc.2013.06.048 fatcat:cmgyymeggvdxfkkhh5lhy5ugaa

Page 976 of Quiver Vol. 46, Issue 10 [page]

1911 Quiver  
With 6 Full-page Plates in Colour and numerous Illus- trations in the Text. 1s. net POPULAR NATURAL With upwards graphs taken HISTORY By Henry Scuerren, F.Z.S.  ...  Lavis only Illustrated. 6d.; cloth gilt, gilt edg THE FAIRYLAND OF LIVING THINGS With Rembrandt Frontispiece and nearly 160 Illustrations also 1s. 6d.  ... 

Page 650 of Leisure Hour, an Illustrated Magazine for Home Reading Vol. 30, Issue [page]

1881 Leisure Hour, an Illustrated Magazine for Home Reading  
HARRISON WEIR’S PICTURES OF WILD BIRDS AND ANIMALS. With 24 Coloured Page Engravings and Descriptive Letterpress. 5s. cloth boards. EIGHTEENPENNY SERIES. ONE SHILLING EACH. Each with Engravings.  ...  . | With numerous Coloured and Wood Illustrations. 7s. 6d, handsome cloth ; 9s. with gilt edges.  ... 

3D-Digitization of the ''Wild Goat'' Vases [article]

David Kolin, Morwena Joly
2010 Eurographics Workshop on Graphics and Cultural Heritage  
The wild-goat vases are a style of Greek vases that have been crafted between the 7th and 6th century BC. The 3D-digitization of these vases has been ongoing at the C2RMF for a few years now.  ...  The aim of this project is to help curators to digitally analyse the vases, compare their shape and colours, and monitor their state through time.  ...  Figure 1 : 1 Figure 1: luminance graph before shadow suppression Figure 2 : 2 Figure 2: luminance graph before shadow suppression Figure 3 : 3 Figure 3: « Wild goat » Greek vase, texture applied  ... 
doi:10.2312/pe/vast/vast10s/063-066 dblp:conf/vast/KolinJ10 fatcat:notht6baafcnvoyuguwl4gwdkm

Page 961 of The Academy and Literature Vol. 69, Issue SUPPLEMENT [page]

1905 The Academy and Literature  
The work forms an invaluable supplement to “ Wild Flowers, Month by Month,” more especially with regard to the accurate identification of plants from the coloured specimens.  ...  The explanations given of the “‘ apparently meaningless solutions” of certain algebraical problems (p. 158) as well as of the number of permutations of coloured beads strung on a necklace (p. 398) are  ... 
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