Height of minor faces in plane normal maps

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Describing 3-paths in normal plane maps

We prove that every normal plane map, as well as every 3polytope, has a path on three vertices whose degrees are bounded from above by one of the following triplets: $(3,3,\infty)$, $(3,4,11)$, $(3,7,6)$, $(3,10,4)$, $(3,15,3)$, $(4,4,9)$, $(6,4,8)$, $(7,4,7)$, and $(6,5,6)$. No parameter of this description can be improved, as shown by appropriate 3-polytopes. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 ...

متن کامل

C*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings

Abstract. In this paper, we define the notion of C*-affine maps in the unital *-rings and we investigate the C*-extreme points of the graph and epigraph of such maps. We show that for a C*-convex map f on a unital *-ring R satisfying the positive square root axiom with an additional condition, the graph of f is a C*-face of the epigraph of f. Moreover, we prove som...

متن کامل

On the structural result on normal plane maps

We prove the structural result on normal plane maps, which applies to the vertex distance colouring of plane maps. The vertex distance-t chromatic number of a plane graph G with maximum degree ∆(G) ≤ D, D ≥ 12 is proved to be upper bounded by 6+ 2D+12 D−2 ((D−1)(t−1)−1). This improves a recent bound 6 + 3D+3 D−2 ((D − 1)t−1 − 1), D ≥ 8 by Jendrol’ and Skupień, and the upper bound for distance-2...

متن کامل

Rainbow faces in edge-colored plane graphs

A face of an edge colored plane graph is called rainbow if all its edges receive distinct colors. The maximum number of colors used in an edge coloring of a connected plane graph G with no rainbow face is called the edge-rainbowness of G. In this paper we prove that the edge-rainbowness of G equals to the maximum number of edges of a connected bridge face factor H of G, where a bridge face fact...

متن کامل

Forcing faces in plane bipartite graphs

Let denote the class of connected plane bipartite graphs with no pendant edges. A finite face s of a graphG ∈ is said to be a forcing face ofG if the subgraph ofG obtained by deleting all vertices of s together with their incident edges has exactly one perfect matching. This is a natural generalization of the concept of forcing hexagons in a hexagonal system introduced in Che and Chen [Forcing ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2004

ISSN: 0166-218X

DOI: 10.1016/s0166-218x(02)00292-5