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» On the Number of Cycles in Planar Graphs
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IJBC
2006
91views more  IJBC 2006»
13 years 7 months ago
Limit Cycles for Generalized Abel Equations
This paper deals with the problem of finding upper bounds on the number of periodic solutions of a class of one-dimensional non-autonomous differential equations: those with the r...
Armengol Gasull, Antoni Guillamon
DAM
2008
92views more  DAM 2008»
13 years 7 months ago
Convex drawings of graphs with non-convex boundary constraints
: In this paper, we study a new problem of convex drawing of planar graphs with non-convex boundary constraints. It is proved that every triconnected plane graph whose boundary is ...
Seok-Hee Hong, Hiroshi Nagamochi
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 7 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin
DAM
2010
132views more  DAM 2010»
13 years 7 months ago
Homomorphisms of 2-edge-colored graphs
In this paper, we study homomorphisms of 2-edge-colored graphs, that is graphs with edges colored with two colors. We consider various graph classes (outerplanar graphs, partial 2...
Amanda Montejano, Pascal Ochem, Alexandre Pinlou, ...
JGT
2006
95views more  JGT 2006»
13 years 7 months ago
Maximal independent sets in graphs with at most r cycles
We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices and at most r cycles. The second family i...
Goh Chee Ying, Koh Khee Meng, Bruce E. Sagan, Vinc...