Number of 4-contractible edges in 4 -connected graphs

Number of 4-contractible edges in 4 -connected graphs

Number of 4-contractible edges of 4-contractible edges 4-contr of 4-contractible edges actible edges in 4 -connected gr of 4-contractible edges aphs Yos himi Egawa (Tokyo Univer of 4-contractible edges s ity of 4-contractible edges Science) For of 4-contractible edges a gr of 4-contractible edges aph , is def 4-contractible edges 4-connected and is connected f 4-contractible edges or of 4-contractible edges ever of 4-contractible edges y with . def 4-contractible edges For of 4-contractible edges a 4-connected gr of 4-contractible edges aph and an edge , is 4-contr of 4-contractible edges actible

is 4-connected. ( ) { ( )| is 4 contr of 4-contractible edges actible } A char of 4-contractible edges acter of 4-contractible edges ization of 4-contractible edges 4-connected gr of 4-contractible edges aphs with was obtained by Fontet and by Mar of 4-contractible edges tinov. In par of 4-contractible edges ticular of 4-contractible edges , the f 4-contractible edges ollowing r of 4-contractible edges es ult is known. Fact A. If 4-contractible edges is a 4-connected gr of 4-contractible edges aph with , then G is 4-r of 4-contractible edges egular of 4-contractible edges . Bas ed on this f 4-contractible edges act, the f 4-contractible edges ollowing r of 4-contractible edges es ults wer of 4-contractible edges e obtained (her of 4-contractible edges e ). Fact A. If 4-contractible edges is a 4-connected gr of 4-contractible edges aph with , then is 4-r of 4-contractible edges egular of 4-contractible edges . Theor of 4-contractible edges em B (Ando & E.).

If 4-contractible edges is a 4-connected gr of 4-contractible edges aph, then . Theor of 4-contractible edges em C (Ando, E., Kawar of 4-contractible edges abayas hi & Kr of 4-contractible edges ies ell). If 4-contractible edges is a 4-connected gr of 4-contractible edges aph, then . Theor of 4-contractible edges em C (Ando, E., Kawar of 4-contractible edges abayas hi & Kr of 4-contractible edges ies ell). If 4-contractible edges is a 4-connected gr of 4-contractible edges aph, then . The f 4-contractible edges ollowing r of 4-contractible edges es ult has r of 4-contractible edges ecently been obtained. Theor of 4-contractible edges em D (Kotani & Nakamur of 4-contractible edges a). If 4-contractible edges is a 4-connected gr of 4-contractible edges aph, then . ver of 4-contractible edges tices

: In , r of 4-contractible edges eplace each ver of 4-contractible edges tex by , r of 4-contractible edges eplace each edge indicated by a br of 4-contractible edges oken line by In , r of 4-contractible edges eplace each ver of 4-contractible edges tex by , r of 4-contractible edges eplace each edge indicated by a br of 4-contractible edges oken line by

ver of 4-contractible edges tices : and r of 4-contractible edges eplace each edge indicated by a s olid line by 11 Let denote the r of 4-contractible edges es ulting gr of 4-contractible edges aph. 12

21 1 22 31 32 2 :1 : 1 =2(n+1)+4 =2n+6

Each has degr of 4-contractible edges ee .

: :31 : 1 Each has degr of 4-contractible edges ee . Each has degr of 4-contractible edges ee .

: :31 : 1 Each has degr of 4-contractible edges ee .

. Each Each Each Each has degr of 4-contractible edges ee . has degr of 4-contractible edges ee . has degr of 4-contractible edges ee . has degr of 4-contractible edges ee.

deg ( )=11 2+36+2 ( 2 +9 )=26 + 5 ( ) 1 1 | ( )|= 13 ( 26 n+78 )= 13 ( ( 5 ( )

deg ( ) +24 ) ) Conjectur of 4-contractible edges e. If 4-contractible edges is a 4-connected gr of 4-contractible edges aph f 4-contractible edges or of 4-contractible edges which is s uf 4-contractible edges f 4-contractible edges iciently lar of 4-contractible edges ge, then. Theor of 4-contractible edges em. If 4-contractible edges is a 4-connected gr of 4-contractible edges aph, then . Outline of 4-contractible edges the pr of 4-contractible edges oof 4-contractible edges . Set

Find a s ubs et of 4-contractible edges s uch that , and .

Recently Viewed Presentations

  • Sentence Fluency - so024.k12.sd.us

    Sentence Fluency - so024.k12.sd.us

    Sentence Fluency Read your writing aloud and listen to it's rhythm. Do you use a variety of sentence lengths? Do you use different sentence beginnings? Are there different kinds of sentences in your writing? As you flow down the river...
  • Presentation - education.ky.gov

    Presentation - education.ky.gov

    For the Grade 10 Field Test there is 1 seal code for Reading, and 2 seal codes for Mathematics. Seal codes should be written on a board and/or central location for students as the test administrator wishes to open each...
  • Office Safety: Hazard Recognition

    Office Safety: Hazard Recognition

    slip, trips & falls make up the most of general industry accidents. 15% of all accidental deaths…2nd to motor vehicles most affected: knee, wrist, ankle, foot, back, shoulder, hip & head stairway safety 2.5 million falls on stairs result in...
  • Farm Management - Department of Agricultural Economics

    Farm Management - Department of Agricultural Economics

    Farm Management Chapter 2 Management and Decision Making Chapter Outline Functions of Management Strategic Farm Management Tactical Decision Making Characteristics of Decisions The Decision-Making Environment in Agriculture Chapter Objectives To understand the functions of management To present the steps in...
  • PowerPoint-presentatie

    PowerPoint-presentatie

    Harlan Lane Deaf Identity Crayons: Then & Now Centuries ago Deaf people were a box of crayons, not human beings. Though the 20th century has witnessed shifts in terminology, the painstaking removal of poisonous power from archaic descriptors accorded our...
  • Lets Make Complaints Better? Nicola Williams, Assistant Director

    Lets Make Complaints Better? Nicola Williams, Assistant Director

    Welsh Risk Pool Assessment 2013/14- 35% lessons learnt. February 2014. Complaints 'Handled' (email chase!!) Cumbersome, bureaucratic paper chase! With defensive / negative responses not always answering all issues raised .
  • Santa Maria Breakfast August 11, 2016

    Santa Maria Breakfast August 11, 2016

    OBJECTIVE. ACTIVITY. Objective 5: Identify and gather the best available local and regional data for analysis of crime drivers. A. Gather primary and secondary violence related data from community partners, including but not limited to the school district, police, probation,...
  • Title

    Title

    Take time to study and internalize the statistics that are reflective of your market and which matter to your sellers. Choose numbers and statistics from the MLS and use the data in a sentence later that same day. Choose a...