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Combinatorial Speculations and the Combinatorial Conjecture for Mathematics [PDF]
19 pages with 6 ...
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An experimental mathematics approach to several combinatorial problems [PDF]
Dissertation.
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Uniqueness of radiomic features in non‐small cell lung cancer
Abstract Purpose The uniqueness of radiomic features, combined with their reproducibility, determines the reliability of radiomic studies. This study is to test the hypothesis that radiomic features extracted from a defined region of interest (ROI) are unique to the underlying structure (e.g., tumor). Approach Two cohorts of non‐small cell lung cancer (
Gary Ge, Jie Zhang
wiley +1 more source
Multiple sclerosis clinical decision support system based on projection to reference datasets
Abstract Objective Multiple sclerosis (MS) is a multifactorial disease with increasingly complicated management. Our objective is to use on‐demand computational power to address the challenges of dynamically managing MS. Methods A phase 3 clinical trial data (NCT00906399) were used to contextualize the medication efficacy of peg‐interferon beta‐1a vs ...
Chadia Ed‐driouch+13 more
wiley +1 more source
Locating-Chromatic Number of Amalgamation of Stars
Let G be a connected graph and c a proper coloring of G . For i Æ’1,2,Æ’»,k define the color class i C as the set of vertices receiving color i . The color code c (v) "ž¨ of a vertex v in G is the ordered k -tuple 1 ( ( , ), , ( , )) k d v C Æ’» d v C ...
Asmiati Asmiati+2 more
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A method to construct graphs with certain partition dimension
In this paper, we propose a method for constructing new graphs from a given graph G so that the resulting graphs have the partition dimension at most one larger than the partition dimension of the graph G.
Debi Oktia Haryeni+2 more
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On size multipartite Ramsey numbers for stars versus paths and cycles
Let $K_{l\times t}$ be a complete, balanced, multipartite graph consisting of $l$ partite sets and $t$ vertices in each partite set. For given two graphs $G_1$ and $G_2$, and integer $j\geq 2$, the size multipartite Ramsey number $m_j(G_1,G_2)$ is the ...
Anie Lusiani+2 more
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On the restricted size Ramsey number for P3 versus dense connected graphs
Let F, G and H be simple graphs. A graph F is said a (G,H)-arrowing graph if in any red-blue coloring of edges of F we can find a red G or a blue H. The size Ramsey number of G and H, ŕ(G,H), is the minimum size of F.
Denny Riama Silaban+2 more
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Modular Irregular Labeling on Double-Star and Friendship Graphs
A modular irregular graph is a graph that admits a modular irregular labeling. A modular irregular labeling of a graph G of order n is a mapping of the set of edges of the graph to 1,2,…,k such that the weights of all vertices are different.
K. A. Sugeng+3 more
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A short proof of Combinatorial Nullstellensatz [PDF]
In this note we give a short, direct proof of the well known Combinatorial Nullstellensatz.
arxiv +1 more source