Circular Distance Two Labeling and the -Number for Outerplanar Graphs
Recommend Documents
Jun 7, 2017 - Then, it is proved that for outerplanar graphs with â = 3, Ïi(G) ⤠â + 1 and the bound is tight for outerplanar graphs of girth three and 4. Finally ...
coloured with distinct colours. This problem is equivalent to determining the chromatic number of the distance graph G(R2, {1}) on the plane R2 with distance set ...
Oct 5, 2012 - Abstract. Let G = (V,E) be a graph of order n. A distance magic labeling of G is a bijection â: V â {1,...,n} for which there exists a positive.
Jan 13, 2016 - 2-connected graph we either construct an outerplanar embedding or ..... If the matrix Ac/2 has one negative eigenvalue, then replace M by Ac/2.
May 18, 2017 - changes in a graph. Discrete Math. 340:1110â1115, 2017. [6] B. BreÅ¡ar, S. Klavzar, D. F. Rall, and K. Wash: Packing chromatic number, (1,1,2,2)-.
Leroux for the enumeration of unlabeled k-gonal 2-trees [16]. However ..... a solution Y (x) that is analytic at 0, has non-negative coefficients, and is aperiodic. Then r ..... 8x. +. 1. 16x2. +3 − x. 16 √ x2 − 6x + 1 −. 1+2x + x2. 16x2. √x4 − 6x2 +
zation of fundamental cycle graphs, see Theorem 9 and [16]. We can simplify .... Kane and Basu generalized in [6] the notion of the outerplanar graph. Graph G.
Sep 28, 2015 - Hans L. Bodlaender§. Abstract. One of the most famous algorithmic meta-theorems states that every graph property that can be defined by a ...
We define a metric on outerplanar graphs that is based ... as constraints are introduced on the structure of the graph. .... [3] M.R. Garey and D.S. Johnson.
Department of Mathematics and Computer Science, California State ... A k-circular distance two labelling (or k-c-labelling) of a graph G is a vertex-labelling such ..... If m¿3; n¿4, then (Km à Kn)c is regular with degree (m â 1)(n â 1)¿mn=2.
The firefighter problem is a discrete-time game on graphs introduced by Hartnell ... subsequent time, a firefighter protects one vertex not yet on fire, and the fire ...
DDR-SDRAM, 80GB IDE hard disk, and Microsoft Windows 2003 Server. The relational representations of UPrefix and PInterval, including tables, in- dexes, and ...
Institute of Computer Science, University of WrocÅaw, Pl. Grunwaldzki 2/4, 50-384 ... 90-101P. Mateti, N. DeoOn algorithms for enumerating all circuits of a ...
Aug 23, 2006 - republish, to post on servers or to redistribute to lists, requires prior specific ..... t-frequent cycles as follows: We list the cycles of G for every.
Independent Covers in Outerplanar Graphs. Maciej M. Systo *. Institute of Computer Science. University of Wroctaw. Przesmyckiego 20. PL-51t51 Wroctaw.
vertex has even degree has its ultimate origins in Euler's Seven Bridges of Königsberg problem of 1736 [10]. 1. One often very useful way to characterize a given ...
Jul 14, 2015 - âDepartment of Computer Science, University of Copenhagen. .... degree [37], distance-hereditary [34], bounded clique-width [20], some ...
Jul 4, 2018 - for cubic plane graphs with face sizes 3, 4, 5, or 6, which we call type-two ... the distance-two four-coloring problem is also polynomial; in fact,.
Jul 2, 2015 - generalizing their results beyond L(2,1)-labeling, and tightening the ..... Hans L. Bodlaender, Ton Kloks, Richard B. Tan, and Jan van Leeuwen.
Nov 1, 1992 - University of South Carolina - Columbia, [email protected] ...... Algorithmic Graph Theory and Perfect Graphs, Academic Press, New York,.
Jun 17, 2013 - arXiv:1306.3921v1 [math.CO] 17 Jun 2013 ... positive answer to this question was given by P. ErdËos [9]. He proved ... were considered in several papers (see [17]). ..... Russian Mathematical Surveys, 62 (2007), N6, pp. 1224â ...
Aug 24, 2015 - is a quadratic-size universal point set for planar graphs, while the .... j on the arc a(p1 ... Note that, since Ï is a half-circle, the drawing of ...... by attaching the stars through the identification of leaves corresponding to c-
edge of G, and any two vertices of L(G) are adjacent if and only if their corresponding edges share a common endpoint in G. One can also define iterated line ...
Circular Distance Two Labeling and the -Number for Outerplanar Graphs
